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Finding the Fourth Proportional to 472,591.08, 652,156.02 and 257,727.24

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Solution

The fourth proportional to 472,591.08, 652,156.02 and 257,727.24 is: 355,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,591.08 : 652,156.02 = 257,727.24 : x
  2. Step 2: Convert to fraction form
    472,591.08/652,156.02 = 257,727.24/x
  3. Step 3: Cross multiply
    472,591.08x = 652,156.02 × 257,727.24
  4. Step 4: Simplify right side
    472,591.08x = 168,078,371,083.99
  5. Step 5: Solve for x
    x = 168,078,371,083.99/472,591.08
  6. Step 6: Final answer
    x = 355,652.86

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Why These Related Problems?

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