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Finding the Fourth Proportional to 415,613.80, 623,026.14 and 134,934.76

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Solution

The fourth proportional to 415,613.80, 623,026.14 and 134,934.76 is: 202,274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,613.80 : 623,026.14 = 134,934.76 : x
  2. Step 2: Convert to fraction form
    415,613.80/623,026.14 = 134,934.76/x
  3. Step 3: Cross multiply
    415,613.80x = 623,026.14 × 134,934.76
  4. Step 4: Simplify right side
    415,613.80x = 84,067,882,674.63
  5. Step 5: Solve for x
    x = 84,067,882,674.63/415,613.80
  6. Step 6: Final answer
    x = 202,274.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.