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Finding the Fourth Proportional to 491,708.10, 737,562.15 and 470,972.10

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Solution

The fourth proportional to 491,708.10, 737,562.15 and 470,972.10 is: 706,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,708.10 : 737,562.15 = 470,972.10 : x
  2. Step 2: Convert to fraction form
    491,708.10/737,562.15 = 470,972.10/x
  3. Step 3: Cross multiply
    491,708.10x = 737,562.15 × 470,972.10
  4. Step 4: Simplify right side
    491,708.10x = 347,371,194,666.02
  5. Step 5: Solve for x
    x = 347,371,194,666.02/491,708.10
  6. Step 6: Final answer
    x = 706,458.15

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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.