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Finding the Fourth Proportional to 466,706.61, 700,096.77 and 229,920.12

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Solution

The fourth proportional to 466,706.61, 700,096.77 and 229,920.12 is: 344,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,706.61 : 700,096.77 = 229,920.12 : x
  2. Step 2: Convert to fraction form
    466,706.61/700,096.77 = 229,920.12/x
  3. Step 3: Cross multiply
    466,706.61x = 700,096.77 × 229,920.12
  4. Step 4: Simplify right side
    466,706.61x = 160,966,333,370.01
  5. Step 5: Solve for x
    x = 160,966,333,370.01/466,706.61
  6. Step 6: Final answer
    x = 344,898.34

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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.