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Finding the Fourth Proportional to 457,362.61, 686,672.33 and 232,873.89

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Solution

The fourth proportional to 457,362.61, 686,672.33 and 232,873.89 is: 349,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,362.61 : 686,672.33 = 232,873.89 : x
  2. Step 2: Convert to fraction form
    457,362.61/686,672.33 = 232,873.89/x
  3. Step 3: Cross multiply
    457,362.61x = 686,672.33 × 232,873.89
  4. Step 4: Simplify right side
    457,362.61x = 159,908,056,642.46
  5. Step 5: Solve for x
    x = 159,908,056,642.46/457,362.61
  6. Step 6: Final answer
    x = 349,630.80

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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.