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Finding the Fourth Proportional to 497,165.60, 745,856.40 and 181,622

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Solution

The fourth proportional to 497,165.60, 745,856.40 and 181,622 is: 272,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,165.60 : 745,856.40 = 181,622 : x
  2. Step 2: Convert to fraction form
    497,165.60/745,856.40 = 181,622/x
  3. Step 3: Cross multiply
    497,165.60x = 745,856.40 × 181,622
  4. Step 4: Simplify right side
    497,165.60x = 135,463,931,080.80
  5. Step 5: Solve for x
    x = 135,463,931,080.80/497,165.60
  6. Step 6: Final answer
    x = 272,472.45

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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.