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Finding the Fourth Proportional to 472,248.72, 708,483.81 and 187,956.49

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Solution

The fourth proportional to 472,248.72, 708,483.81 and 187,956.49 is: 281,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,248.72 : 708,483.81 = 187,956.49 : x
  2. Step 2: Convert to fraction form
    472,248.72/708,483.81 = 187,956.49/x
  3. Step 3: Cross multiply
    472,248.72x = 708,483.81 × 187,956.49
  4. Step 4: Simplify right side
    472,248.72x = 133,164,133,898.53
  5. Step 5: Solve for x
    x = 133,164,133,898.53/472,248.72
  6. Step 6: Final answer
    x = 281,978.81

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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.