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Finding the Fourth Proportional to 477,510.80, 716,188.33 and 140,472.65

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Solution

The fourth proportional to 477,510.80, 716,188.33 and 140,472.65 is: 210,686.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,510.80 : 716,188.33 = 140,472.65 : x
  2. Step 2: Convert to fraction form
    477,510.80/716,188.33 = 140,472.65/x
  3. Step 3: Cross multiply
    477,510.80x = 716,188.33 × 140,472.65
  4. Step 4: Simplify right side
    477,510.80x = 100,604,870,551.68
  5. Step 5: Solve for x
    x = 100,604,870,551.68/477,510.80
  6. Step 6: Final answer
    x = 210,686.07

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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.