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Finding the Fourth Proportional to 567,055.05, 782,010.33 and 413,850.57

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Solution

The fourth proportional to 567,055.05, 782,010.33 and 413,850.57 is: 570,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,055.05 : 782,010.33 = 413,850.57 : x
  2. Step 2: Convert to fraction form
    567,055.05/782,010.33 = 413,850.57/x
  3. Step 3: Cross multiply
    567,055.05x = 782,010.33 × 413,850.57
  4. Step 4: Simplify right side
    567,055.05x = 323,635,423,058.63
  5. Step 5: Solve for x
    x = 323,635,423,058.63/567,055.05
  6. Step 6: Final answer
    x = 570,730.16

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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.