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Finding the Fourth Proportional to 467,142.48, 644,656.65 and 252,282.57

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Solution

The fourth proportional to 467,142.48, 644,656.65 and 252,282.57 is: 348,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,142.48 : 644,656.65 = 252,282.57 : x
  2. Step 2: Convert to fraction form
    467,142.48/644,656.65 = 252,282.57/x
  3. Step 3: Cross multiply
    467,142.48x = 644,656.65 × 252,282.57
  4. Step 4: Simplify right side
    467,142.48x = 162,635,636,429.59
  5. Step 5: Solve for x
    x = 162,635,636,429.59/467,142.48
  6. Step 6: Final answer
    x = 348,149.96

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1.5x scale

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.