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Finding the Fourth Proportional to 464,332.80, 696,382.31 and 179,925.76

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Solution

The fourth proportional to 464,332.80, 696,382.31 and 179,925.76 is: 269,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,332.80 : 696,382.31 = 179,925.76 : x
  2. Step 2: Convert to fraction form
    464,332.80/696,382.31 = 179,925.76/x
  3. Step 3: Cross multiply
    464,332.80x = 696,382.31 × 179,925.76
  4. Step 4: Simplify right side
    464,332.80x = 125,297,113,780.45
  5. Step 5: Solve for x
    x = 125,297,113,780.45/464,332.80
  6. Step 6: Final answer
    x = 269,843.34

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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.