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Finding the Fourth Proportional to 424,657.25, 586,009.32 and 231,065.72

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Solution

The fourth proportional to 424,657.25, 586,009.32 and 231,065.72 is: 318,861.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,657.25 : 586,009.32 = 231,065.72 : x
  2. Step 2: Convert to fraction form
    424,657.25/586,009.32 = 231,065.72/x
  3. Step 3: Cross multiply
    424,657.25x = 586,009.32 × 231,065.72
  4. Step 4: Simplify right side
    424,657.25x = 135,406,663,853.50
  5. Step 5: Solve for x
    x = 135,406,663,853.50/424,657.25
  6. Step 6: Final answer
    x = 318,861.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.