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Finding the Fourth Proportional to 552,547.20, 829,015.20 and 197,572.80

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Solution

The fourth proportional to 552,547.20, 829,015.20 and 197,572.80 is: 296,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,547.20 : 829,015.20 = 197,572.80 : x
  2. Step 2: Convert to fraction form
    552,547.20/829,015.20 = 197,572.80/x
  3. Step 3: Cross multiply
    552,547.20x = 829,015.20 × 197,572.80
  4. Step 4: Simplify right side
    552,547.20x = 163,790,854,306.56
  5. Step 5: Solve for x
    x = 163,790,854,306.56/552,547.20
  6. Step 6: Final answer
    x = 296,428.71

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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.