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Finding the Fourth Proportional to 492,097.30, 737,109.15 and 398,785.30

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Solution

The fourth proportional to 492,097.30, 737,109.15 and 398,785.30 is: 597,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,097.30 : 737,109.15 = 398,785.30 : x
  2. Step 2: Convert to fraction form
    492,097.30/737,109.15 = 398,785.30/x
  3. Step 3: Cross multiply
    492,097.30x = 737,109.15 × 398,785.30
  4. Step 4: Simplify right side
    492,097.30x = 293,948,293,515.50
  5. Step 5: Solve for x
    x = 293,948,293,515.50/492,097.30
  6. Step 6: Final answer
    x = 597,337.75

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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.