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Finding the Fourth Proportional to 472,705.27, 709,237.04 and 283,301.56

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Solution

The fourth proportional to 472,705.27, 709,237.04 and 283,301.56 is: 425,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,705.27 : 709,237.04 = 283,301.56 : x
  2. Step 2: Convert to fraction form
    472,705.27/709,237.04 = 283,301.56/x
  3. Step 3: Cross multiply
    472,705.27x = 709,237.04 × 283,301.56
  4. Step 4: Simplify right side
    472,705.27x = 200,927,959,841.78
  5. Step 5: Solve for x
    x = 200,927,959,841.78/472,705.27
  6. Step 6: Final answer
    x = 425,059.70

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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.