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Finding the Fourth Proportional to 513,715.40, 770,573.10 and 277,519.40

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Solution

The fourth proportional to 513,715.40, 770,573.10 and 277,519.40 is: 416,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,715.40 : 770,573.10 = 277,519.40 : x
  2. Step 2: Convert to fraction form
    513,715.40/770,573.10 = 277,519.40/x
  3. Step 3: Cross multiply
    513,715.40x = 770,573.10 × 277,519.40
  4. Step 4: Simplify right side
    513,715.40x = 213,848,984,368.14
  5. Step 5: Solve for x
    x = 213,848,984,368.14/513,715.40
  6. Step 6: Final answer
    x = 416,279.10

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.