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Finding the Fourth Proportional to 424,452.50, 585,827.64 and 243,285.86

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Solution

The fourth proportional to 424,452.50, 585,827.64 and 243,285.86 is: 335,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,452.50 : 585,827.64 = 243,285.86 : x
  2. Step 2: Convert to fraction form
    424,452.50/585,827.64 = 243,285.86/x
  3. Step 3: Cross multiply
    424,452.50x = 585,827.64 × 243,285.86
  4. Step 4: Simplify right side
    424,452.50x = 142,523,581,209.17
  5. Step 5: Solve for x
    x = 142,523,581,209.17/424,452.50
  6. Step 6: Final answer
    x = 335,782.17

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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.