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Finding the Fourth Proportional to 460,896.32, 691,344.51 and 145,377.83

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Solution

The fourth proportional to 460,896.32, 691,344.51 and 145,377.83 is: 218,066.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,896.32 : 691,344.51 = 145,377.83 : x
  2. Step 2: Convert to fraction form
    460,896.32/691,344.51 = 145,377.83/x
  3. Step 3: Cross multiply
    460,896.32x = 691,344.51 × 145,377.83
  4. Step 4: Simplify right side
    460,896.32x = 100,506,164,646.21
  5. Step 5: Solve for x
    x = 100,506,164,646.21/460,896.32
  6. Step 6: Final answer
    x = 218,066.75

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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.