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Finding the Fourth Proportional to 457,622.92, 686,533.47 and 187,751.67

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Solution

The fourth proportional to 457,622.92, 686,533.47 and 187,751.67 is: 281,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,622.92 : 686,533.47 = 187,751.67 : x
  2. Step 2: Convert to fraction form
    457,622.92/686,533.47 = 187,751.67/x
  3. Step 3: Cross multiply
    457,622.92x = 686,533.47 × 187,751.67
  4. Step 4: Simplify right side
    457,622.92x = 128,897,807,142.68
  5. Step 5: Solve for x
    x = 128,897,807,142.68/457,622.92
  6. Step 6: Final answer
    x = 281,668.17

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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.