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Finding the Fourth Proportional to 360,291.81, 497,149.65 and 205,244.49

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Solution

The fourth proportional to 360,291.81, 497,149.65 and 205,244.49 is: 283,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,291.81 : 497,149.65 = 205,244.49 : x
  2. Step 2: Convert to fraction form
    360,291.81/497,149.65 = 205,244.49/x
  3. Step 3: Cross multiply
    360,291.81x = 497,149.65 × 205,244.49
  4. Step 4: Simplify right side
    360,291.81x = 102,037,226,367.93
  5. Step 5: Solve for x
    x = 102,037,226,367.93/360,291.81
  6. Step 6: Final answer
    x = 283,207.18

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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.