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Finding the Fourth Proportional to 500,652.48, 750,923.57 and 140,834.76

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Solution

The fourth proportional to 500,652.48, 750,923.57 and 140,834.76 is: 211,236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,652.48 : 750,923.57 = 140,834.76 : x
  2. Step 2: Convert to fraction form
    500,652.48/750,923.57 = 140,834.76/x
  3. Step 3: Cross multiply
    500,652.48x = 750,923.57 × 140,834.76
  4. Step 4: Simplify right side
    500,652.48x = 105,756,140,759.29
  5. Step 5: Solve for x
    x = 105,756,140,759.29/500,652.48
  6. Step 6: Final answer
    x = 211,236.63

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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.