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Finding the Fourth Proportional to 501,901.76, 752,949.12 and 202,412.66

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Solution

The fourth proportional to 501,901.76, 752,949.12 and 202,412.66 is: 303,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,901.76 : 752,949.12 = 202,412.66 : x
  2. Step 2: Convert to fraction form
    501,901.76/752,949.12 = 202,412.66/x
  3. Step 3: Cross multiply
    501,901.76x = 752,949.12 × 202,412.66
  4. Step 4: Simplify right side
    501,901.76x = 152,406,434,223.86
  5. Step 5: Solve for x
    x = 152,406,434,223.86/501,901.76
  6. Step 6: Final answer
    x = 303,657.90

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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.