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Finding the Fourth Proportional to 497,167.60, 745,859.40 and 181,624

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Solution

The fourth proportional to 497,167.60, 745,859.40 and 181,624 is: 272,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,167.60 : 745,859.40 = 181,624 : x
  2. Step 2: Convert to fraction form
    497,167.60/745,859.40 = 181,624/x
  3. Step 3: Cross multiply
    497,167.60x = 745,859.40 × 181,624
  4. Step 4: Simplify right side
    497,167.60x = 135,465,967,665.60
  5. Step 5: Solve for x
    x = 135,465,967,665.60/497,167.60
  6. Step 6: Final answer
    x = 272,475.45

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Why These Related Problems?

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