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Finding the Fourth Proportional to 472,925.60, 709,474.80 and 192,471.20

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Solution

The fourth proportional to 472,925.60, 709,474.80 and 192,471.20 is: 288,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,925.60 : 709,474.80 = 192,471.20 : x
  2. Step 2: Convert to fraction form
    472,925.60/709,474.80 = 192,471.20/x
  3. Step 3: Cross multiply
    472,925.60x = 709,474.80 × 192,471.20
  4. Step 4: Simplify right side
    472,925.60x = 136,553,466,125.76
  5. Step 5: Solve for x
    x = 136,553,466,125.76/472,925.60
  6. Step 6: Final answer
    x = 288,741.96

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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.