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Finding the Fourth Proportional to 465,322.42, 698,123.76 and 165,763.90

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Solution

The fourth proportional to 465,322.42, 698,123.76 and 165,763.90 is: 248,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,322.42 : 698,123.76 = 165,763.90 : x
  2. Step 2: Convert to fraction form
    465,322.42/698,123.76 = 165,763.90/x
  3. Step 3: Cross multiply
    465,322.42x = 698,123.76 × 165,763.90
  4. Step 4: Simplify right side
    465,322.42x = 115,723,717,140.26
  5. Step 5: Solve for x
    x = 115,723,717,140.26/465,322.42
  6. Step 6: Final answer
    x = 248,695.77

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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.