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Finding the Fourth Proportional to 306,032.20, 459,048.30 and 260,761.30

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Solution

The fourth proportional to 306,032.20, 459,048.30 and 260,761.30 is: 391,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,032.20 : 459,048.30 = 260,761.30 : x
  2. Step 2: Convert to fraction form
    306,032.20/459,048.30 = 260,761.30/x
  3. Step 3: Cross multiply
    306,032.20x = 459,048.30 × 260,761.30
  4. Step 4: Simplify right side
    306,032.20x = 119,702,031,470.79
  5. Step 5: Solve for x
    x = 119,702,031,470.79/306,032.20
  6. Step 6: Final answer
    x = 391,141.95

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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.