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Finding the Fourth Proportional to 567,122.58, 782,103.26 and 413,918.20

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Solution

The fourth proportional to 567,122.58, 782,103.26 and 413,918.20 is: 570,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,122.58 : 782,103.26 = 413,918.20 : x
  2. Step 2: Convert to fraction form
    567,122.58/782,103.26 = 413,918.20/x
  3. Step 3: Cross multiply
    567,122.58x = 782,103.26 × 413,918.20
  4. Step 4: Simplify right side
    567,122.58x = 323,726,775,605.76
  5. Step 5: Solve for x
    x = 323,726,775,605.76/567,122.58
  6. Step 6: Final answer
    x = 570,823.29

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Double scale
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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.