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Finding the Fourth Proportional to 566,602.57, 782,613.69 and 411,306.01

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Solution

The fourth proportional to 566,602.57, 782,613.69 and 411,306.01 is: 568,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,602.57 : 782,613.69 = 411,306.01 : x
  2. Step 2: Convert to fraction form
    566,602.57/782,613.69 = 411,306.01/x
  3. Step 3: Cross multiply
    566,602.57x = 782,613.69 × 411,306.01
  4. Step 4: Simplify right side
    566,602.57x = 321,893,714,205.28
  5. Step 5: Solve for x
    x = 321,893,714,205.28/566,602.57
  6. Step 6: Final answer
    x = 568,111.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.