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Finding the Fourth Proportional to 432,227.49, 648,332.18 and 144,060.00

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Solution

The fourth proportional to 432,227.49, 648,332.18 and 144,060.00 is: 216,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,227.49 : 648,332.18 = 144,060.00 : x
  2. Step 2: Convert to fraction form
    432,227.49/648,332.18 = 144,060.00/x
  3. Step 3: Cross multiply
    432,227.49x = 648,332.18 × 144,060.00
  4. Step 4: Simplify right side
    432,227.49x = 93,398,732,049.82
  5. Step 5: Solve for x
    x = 93,398,732,049.82/432,227.49
  6. Step 6: Final answer
    x = 216,086.98

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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.