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Finding the Fourth Proportional to 501,856.40, 752,565.90 and 202,237.40

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Solution

The fourth proportional to 501,856.40, 752,565.90 and 202,237.40 is: 303,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,856.40 : 752,565.90 = 202,237.40 : x
  2. Step 2: Convert to fraction form
    501,856.40/752,565.90 = 202,237.40/x
  3. Step 3: Cross multiply
    501,856.40x = 752,565.90 × 202,237.40
  4. Step 4: Simplify right side
    501,856.40x = 152,196,970,944.66
  5. Step 5: Solve for x
    x = 152,196,970,944.66/501,856.40
  6. Step 6: Final answer
    x = 303,267.97

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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.