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Finding the Fourth Proportional to 410,515.70, 616,234.35 and 317,434.10

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Solution

The fourth proportional to 410,515.70, 616,234.35 and 317,434.10 is: 476,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,515.70 : 616,234.35 = 317,434.10 : x
  2. Step 2: Convert to fraction form
    410,515.70/616,234.35 = 317,434.10/x
  3. Step 3: Cross multiply
    410,515.70x = 616,234.35 × 317,434.10
  4. Step 4: Simplify right side
    410,515.70x = 195,613,796,281.34
  5. Step 5: Solve for x
    x = 195,613,796,281.34/410,515.70
  6. Step 6: Final answer
    x = 476,507.47

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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.