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Finding the Fourth Proportional to 313,923.85, 433,209.81 and 170,687.50

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Solution

The fourth proportional to 313,923.85, 433,209.81 and 170,687.50 is: 235,545.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,923.85 : 433,209.81 = 170,687.50 : x
  2. Step 2: Convert to fraction form
    313,923.85/433,209.81 = 170,687.50/x
  3. Step 3: Cross multiply
    313,923.85x = 433,209.81 × 170,687.50
  4. Step 4: Simplify right side
    313,923.85x = 73,943,499,444.38
  5. Step 5: Solve for x
    x = 73,943,499,444.38/313,923.85
  6. Step 6: Final answer
    x = 235,545.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.