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Finding the Fourth Proportional to 498,412.10, 747,618.15 and 364,567.70

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Solution

The fourth proportional to 498,412.10, 747,618.15 and 364,567.70 is: 546,851.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,412.10 : 747,618.15 = 364,567.70 : x
  2. Step 2: Convert to fraction form
    498,412.10/747,618.15 = 364,567.70/x
  3. Step 3: Cross multiply
    498,412.10x = 747,618.15 × 364,567.70
  4. Step 4: Simplify right side
    498,412.10x = 272,557,429,423.76
  5. Step 5: Solve for x
    x = 272,557,429,423.76/498,412.10
  6. Step 6: Final answer
    x = 546,851.55

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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.