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Finding the Fourth Proportional to 532,652.49, 798,981.77 and 177,665.47

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Solution

The fourth proportional to 532,652.49, 798,981.77 and 177,665.47 is: 266,499.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,652.49 : 798,981.77 = 177,665.47 : x
  2. Step 2: Convert to fraction form
    532,652.49/798,981.77 = 177,665.47/x
  3. Step 3: Cross multiply
    532,652.49x = 798,981.77 × 177,665.47
  4. Step 4: Simplify right side
    532,652.49x = 141,951,470,135.19
  5. Step 5: Solve for x
    x = 141,951,470,135.19/532,652.49
  6. Step 6: Final answer
    x = 266,499.21

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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.