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Finding the Fourth Proportional to 501,900.76, 752,947.62 and 202,411.66

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Solution

The fourth proportional to 501,900.76, 752,947.62 and 202,411.66 is: 303,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,900.76 : 752,947.62 = 202,411.66 : x
  2. Step 2: Convert to fraction form
    501,900.76/752,947.62 = 202,411.66/x
  3. Step 3: Cross multiply
    501,900.76x = 752,947.62 × 202,411.66
  4. Step 4: Simplify right side
    501,900.76x = 152,405,377,657.25
  5. Step 5: Solve for x
    x = 152,405,377,657.25/501,900.76
  6. Step 6: Final answer
    x = 303,656.40

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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.