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Finding the Fourth Proportional to 567,314.16, 782,645.54 and 406,110.39

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Solution

The fourth proportional to 567,314.16, 782,645.54 and 406,110.39 is: 560,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,314.16 : 782,645.54 = 406,110.39 : x
  2. Step 2: Convert to fraction form
    567,314.16/782,645.54 = 406,110.39/x
  3. Step 3: Cross multiply
    567,314.16x = 782,645.54 × 406,110.39
  4. Step 4: Simplify right side
    567,314.16x = 317,840,483,450.61
  5. Step 5: Solve for x
    x = 317,840,483,450.61/567,314.16
  6. Step 6: Final answer
    x = 560,254.80

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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.