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Finding the Fourth Proportional to 437,778, 655,817.31 and 287,562.49

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Solution

The fourth proportional to 437,778, 655,817.31 and 287,562.49 is: 430,785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,778 : 655,817.31 = 287,562.49 : x
  2. Step 2: Convert to fraction form
    437,778/655,817.31 = 287,562.49/x
  3. Step 3: Cross multiply
    437,778x = 655,817.31 × 287,562.49
  4. Step 4: Simplify right side
    437,778x = 188,588,457,009.16
  5. Step 5: Solve for x
    x = 188,588,457,009.16/437,778
  6. Step 6: Final answer
    x = 430,785.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.