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Finding the Fourth Proportional to 472,744.72, 709,123.28 and 157,201.68

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Solution

The fourth proportional to 472,744.72, 709,123.28 and 157,201.68 is: 235,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,744.72 : 709,123.28 = 157,201.68 : x
  2. Step 2: Convert to fraction form
    472,744.72/709,123.28 = 157,201.68/x
  3. Step 3: Cross multiply
    472,744.72x = 709,123.28 × 157,201.68
  4. Step 4: Simplify right side
    472,744.72x = 111,475,370,943.11
  5. Step 5: Solve for x
    x = 111,475,370,943.11/472,744.72
  6. Step 6: Final answer
    x = 235,804.58

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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.