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Finding the Fourth Proportional to 464,340.71, 696,511.21 and 306,532.25

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Solution

The fourth proportional to 464,340.71, 696,511.21 and 306,532.25 is: 459,798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,340.71 : 696,511.21 = 306,532.25 : x
  2. Step 2: Convert to fraction form
    464,340.71/696,511.21 = 306,532.25/x
  3. Step 3: Cross multiply
    464,340.71x = 696,511.21 × 306,532.25
  4. Step 4: Simplify right side
    464,340.71x = 213,503,149,326.47
  5. Step 5: Solve for x
    x = 213,503,149,326.47/464,340.71
  6. Step 6: Final answer
    x = 459,798.48

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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.