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Finding the Fourth Proportional to 432,626.87, 648,702.47 and 133,024.28

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Solution

The fourth proportional to 432,626.87, 648,702.47 and 133,024.28 is: 199,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,626.87 : 648,702.47 = 133,024.28 : x
  2. Step 2: Convert to fraction form
    432,626.87/648,702.47 = 133,024.28/x
  3. Step 3: Cross multiply
    432,626.87x = 648,702.47 × 133,024.28
  4. Step 4: Simplify right side
    432,626.87x = 86,293,176,095.02
  5. Step 5: Solve for x
    x = 86,293,176,095.02/432,626.87
  6. Step 6: Final answer
    x = 199,463.28

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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.