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Finding the Fourth Proportional to 616,281.80, 924,422.70 and 417,216.20

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Solution

The fourth proportional to 616,281.80, 924,422.70 and 417,216.20 is: 625,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,281.80 : 924,422.70 = 417,216.20 : x
  2. Step 2: Convert to fraction form
    616,281.80/924,422.70 = 417,216.20/x
  3. Step 3: Cross multiply
    616,281.80x = 924,422.70 × 417,216.20
  4. Step 4: Simplify right side
    616,281.80x = 385,684,126,087.74
  5. Step 5: Solve for x
    x = 385,684,126,087.74/616,281.80
  6. Step 6: Final answer
    x = 625,824.30

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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.