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Finding the Fourth Proportional to 457,363.87, 686,674.22 and 232,875.14

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Solution

The fourth proportional to 457,363.87, 686,674.22 and 232,875.14 is: 349,632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,363.87 : 686,674.22 = 232,875.14 : x
  2. Step 2: Convert to fraction form
    457,363.87/686,674.22 = 232,875.14/x
  3. Step 3: Cross multiply
    457,363.87x = 686,674.22 × 232,875.14
  4. Step 4: Simplify right side
    457,363.87x = 159,909,350,519.14
  5. Step 5: Solve for x
    x = 159,909,350,519.14/457,363.87
  6. Step 6: Final answer
    x = 349,632.67

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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.