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Finding the Fourth Proportional to 464,645.61, 696,976.05 and 127,684.15

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Solution

The fourth proportional to 464,645.61, 696,976.05 and 127,684.15 is: 191,528.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,645.61 : 696,976.05 = 127,684.15 : x
  2. Step 2: Convert to fraction form
    464,645.61/696,976.05 = 127,684.15/x
  3. Step 3: Cross multiply
    464,645.61x = 696,976.05 × 127,684.15
  4. Step 4: Simplify right side
    464,645.61x = 88,992,794,514.61
  5. Step 5: Solve for x
    x = 88,992,794,514.61/464,645.61
  6. Step 6: Final answer
    x = 191,528.32

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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.