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Finding the Fourth Proportional to 432,077.70, 648,116.55 and 402,553.20

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Solution

The fourth proportional to 432,077.70, 648,116.55 and 402,553.20 is: 603,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,077.70 : 648,116.55 = 402,553.20 : x
  2. Step 2: Convert to fraction form
    432,077.70/648,116.55 = 402,553.20/x
  3. Step 3: Cross multiply
    432,077.70x = 648,116.55 × 402,553.20
  4. Step 4: Simplify right side
    432,077.70x = 260,901,391,175.46
  5. Step 5: Solve for x
    x = 260,901,391,175.46/432,077.70
  6. Step 6: Final answer
    x = 603,829.80

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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.