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Finding the Fourth Proportional to 402,983.61, 604,475.82 and 150,260.24

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Solution

The fourth proportional to 402,983.61, 604,475.82 and 150,260.24 is: 225,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,983.61 : 604,475.82 = 150,260.24 : x
  2. Step 2: Convert to fraction form
    402,983.61/604,475.82 = 150,260.24/x
  3. Step 3: Cross multiply
    402,983.61x = 604,475.82 × 150,260.24
  4. Step 4: Simplify right side
    402,983.61x = 90,828,678,765.02
  5. Step 5: Solve for x
    x = 90,828,678,765.02/402,983.61
  6. Step 6: Final answer
    x = 225,390.50

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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.