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Finding the Fourth Proportional to 472,562.96, 708,631.20 and 135,526.23

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Solution

The fourth proportional to 472,562.96, 708,631.20 and 135,526.23 is: 203,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,562.96 : 708,631.20 = 135,526.23 : x
  2. Step 2: Convert to fraction form
    472,562.96/708,631.20 = 135,526.23/x
  3. Step 3: Cross multiply
    472,562.96x = 708,631.20 × 135,526.23
  4. Step 4: Simplify right side
    472,562.96x = 96,038,114,996.38
  5. Step 5: Solve for x
    x = 96,038,114,996.38/472,562.96
  6. Step 6: Final answer
    x = 203,228.19

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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.