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Finding the Fourth Proportional to 457,242.57, 686,289.42 and 232,771.05

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Solution

The fourth proportional to 457,242.57, 686,289.42 and 232,771.05 is: 349,373.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,242.57 : 686,289.42 = 232,771.05 : x
  2. Step 2: Convert to fraction form
    457,242.57/686,289.42 = 232,771.05/x
  3. Step 3: Cross multiply
    457,242.57x = 686,289.42 × 232,771.05
  4. Step 4: Simplify right side
    457,242.57x = 159,748,308,897.29
  5. Step 5: Solve for x
    x = 159,748,308,897.29/457,242.57
  6. Step 6: Final answer
    x = 349,373.22

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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.