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Finding the Fourth Proportional to 616,251.80, 924,377.70 and 413,298.20

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Solution

The fourth proportional to 616,251.80, 924,377.70 and 413,298.20 is: 619,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,251.80 : 924,377.70 = 413,298.20 : x
  2. Step 2: Convert to fraction form
    616,251.80/924,377.70 = 413,298.20/x
  3. Step 3: Cross multiply
    616,251.80x = 924,377.70 × 413,298.20
  4. Step 4: Simplify right side
    616,251.80x = 382,043,639,530.14
  5. Step 5: Solve for x
    x = 382,043,639,530.14/616,251.80
  6. Step 6: Final answer
    x = 619,947.30

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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.