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Finding the Fourth Proportional to 457,365.50, 686,676.67 and 232,876.79

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Solution

The fourth proportional to 457,365.50, 686,676.67 and 232,876.79 is: 349,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,365.50 : 686,676.67 = 232,876.79 : x
  2. Step 2: Convert to fraction form
    457,365.50/686,676.67 = 232,876.79/x
  3. Step 3: Cross multiply
    457,365.50x = 686,676.67 × 232,876.79
  4. Step 4: Simplify right side
    457,365.50x = 159,911,054,661.91
  5. Step 5: Solve for x
    x = 159,911,054,661.91/457,365.50
  6. Step 6: Final answer
    x = 349,635.15

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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.