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Finding the Fourth Proportional to 277,537.40, 416,306.10 and 277,537.40

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Solution

The fourth proportional to 277,537.40, 416,306.10 and 277,537.40 is: 416,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,537.40 : 416,306.10 = 277,537.40 : x
  2. Step 2: Convert to fraction form
    277,537.40/416,306.10 = 277,537.40/x
  3. Step 3: Cross multiply
    277,537.40x = 416,306.10 × 277,537.40
  4. Step 4: Simplify right side
    277,537.40x = 115,540,512,598.14
  5. Step 5: Solve for x
    x = 115,540,512,598.14/277,537.40
  6. Step 6: Final answer
    x = 416,306.10

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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.