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Finding the Fourth Proportional to 442,781.60, 611,196.24 and 261,494.24

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Solution

The fourth proportional to 442,781.60, 611,196.24 and 261,494.24 is: 360,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,781.60 : 611,196.24 = 261,494.24 : x
  2. Step 2: Convert to fraction form
    442,781.60/611,196.24 = 261,494.24/x
  3. Step 3: Cross multiply
    442,781.60x = 611,196.24 × 261,494.24
  4. Step 4: Simplify right side
    442,781.60x = 159,824,296,269.66
  5. Step 5: Solve for x
    x = 159,824,296,269.66/442,781.60
  6. Step 6: Final answer
    x = 360,955.14

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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.