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Finding the Fourth Proportional to 464,382.76, 696,455.64 and 144,472.12

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Solution

The fourth proportional to 464,382.76, 696,455.64 and 144,472.12 is: 216,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,382.76 : 696,455.64 = 144,472.12 : x
  2. Step 2: Convert to fraction form
    464,382.76/696,455.64 = 144,472.12/x
  3. Step 3: Cross multiply
    464,382.76x = 696,455.64 × 144,472.12
  4. Step 4: Simplify right side
    464,382.76x = 100,618,422,796.76
  5. Step 5: Solve for x
    x = 100,618,422,796.76/464,382.76
  6. Step 6: Final answer
    x = 216,671.31

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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.