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Finding the Fourth Proportional to 472,595.70, 652,183.17 and 257,737.14

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Solution

The fourth proportional to 472,595.70, 652,183.17 and 257,737.14 is: 355,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,595.70 : 652,183.17 = 257,737.14 : x
  2. Step 2: Convert to fraction form
    472,595.70/652,183.17 = 257,737.14/x
  3. Step 3: Cross multiply
    472,595.70x = 652,183.17 × 257,737.14
  4. Step 4: Simplify right side
    472,595.70x = 168,091,824,991.93
  5. Step 5: Solve for x
    x = 168,091,824,991.93/472,595.70
  6. Step 6: Final answer
    x = 355,677.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.