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Finding the Fourth Proportional to 432,078.30, 648,117.45 and 413,415.90

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Solution

The fourth proportional to 432,078.30, 648,117.45 and 413,415.90 is: 620,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,078.30 : 648,117.45 = 413,415.90 : x
  2. Step 2: Convert to fraction form
    432,078.30/648,117.45 = 413,415.90/x
  3. Step 3: Cross multiply
    432,078.30x = 648,117.45 × 413,415.90
  4. Step 4: Simplify right side
    432,078.30x = 267,942,058,897.46
  5. Step 5: Solve for x
    x = 267,942,058,897.46/432,078.30
  6. Step 6: Final answer
    x = 620,123.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.