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Finding the Fourth Proportional to 819,748, 1,131,252.24 and 462,052

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Solution

The fourth proportional to 819,748, 1,131,252.24 and 462,052 is: 637,631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,748 : 1,131,252.24 = 462,052 : x
  2. Step 2: Convert to fraction form
    819,748/1,131,252.24 = 462,052/x
  3. Step 3: Cross multiply
    819,748x = 1,131,252.24 × 462,052
  4. Step 4: Simplify right side
    819,748x = 522,697,359,996.48
  5. Step 5: Solve for x
    x = 522,697,359,996.48/819,748
  6. Step 6: Final answer
    x = 637,631.76

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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.