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Finding the Fourth Proportional to 434,095.76, 652,141.72 and 306,306.24

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Solution

The fourth proportional to 434,095.76, 652,141.72 and 306,306.24 is: 460,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,095.76 : 652,141.72 = 306,306.24 : x
  2. Step 2: Convert to fraction form
    434,095.76/652,141.72 = 306,306.24/x
  3. Step 3: Cross multiply
    434,095.76x = 652,141.72 × 306,306.24
  4. Step 4: Simplify right side
    434,095.76x = 199,755,078,200.33
  5. Step 5: Solve for x
    x = 199,755,078,200.33/434,095.76
  6. Step 6: Final answer
    x = 460,163.62

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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.