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Finding the Fourth Proportional to 464,437.50, 696,772.91 and 132,013.50

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Solution

The fourth proportional to 464,437.50, 696,772.91 and 132,013.50 is: 198,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,437.50 : 696,772.91 = 132,013.50 : x
  2. Step 2: Convert to fraction form
    464,437.50/696,772.91 = 132,013.50/x
  3. Step 3: Cross multiply
    464,437.50x = 696,772.91 × 132,013.50
  4. Step 4: Simplify right side
    464,437.50x = 91,983,429,894.22
  5. Step 5: Solve for x
    x = 91,983,429,894.22/464,437.50
  6. Step 6: Final answer
    x = 198,053.41

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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.