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Finding the Fourth Proportional to 567,175.26, 782,225.19 and 340,777.02

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Solution

The fourth proportional to 567,175.26, 782,225.19 and 340,777.02 is: 469,985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,175.26 : 782,225.19 = 340,777.02 : x
  2. Step 2: Convert to fraction form
    567,175.26/782,225.19 = 340,777.02/x
  3. Step 3: Cross multiply
    567,175.26x = 782,225.19 × 340,777.02
  4. Step 4: Simplify right side
    567,175.26x = 266,564,369,217.13
  5. Step 5: Solve for x
    x = 266,564,369,217.13/567,175.26
  6. Step 6: Final answer
    x = 469,985.89

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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.