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Finding the Fourth Proportional to 457,364.62, 686,675.34 and 232,875.89

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Solution

The fourth proportional to 457,364.62, 686,675.34 and 232,875.89 is: 349,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,364.62 : 686,675.34 = 232,875.89 : x
  2. Step 2: Convert to fraction form
    457,364.62/686,675.34 = 232,875.89/x
  3. Step 3: Cross multiply
    457,364.62x = 686,675.34 × 232,875.89
  4. Step 4: Simplify right side
    457,364.62x = 159,910,127,510.18
  5. Step 5: Solve for x
    x = 159,910,127,510.18/457,364.62
  6. Step 6: Final answer
    x = 349,633.80

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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.