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Finding the Fourth Proportional to 457,242.82, 686,289.79 and 232,771.30

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Solution

The fourth proportional to 457,242.82, 686,289.79 and 232,771.30 is: 349,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,242.82 : 686,289.79 = 232,771.30 : x
  2. Step 2: Convert to fraction form
    457,242.82/686,289.79 = 232,771.30/x
  3. Step 3: Cross multiply
    457,242.82x = 686,289.79 × 232,771.30
  4. Step 4: Simplify right side
    457,242.82x = 159,748,566,595.03
  5. Step 5: Solve for x
    x = 159,748,566,595.03/457,242.82
  6. Step 6: Final answer
    x = 349,373.59

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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.