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Finding the Fourth Proportional to 464,006.76, 696,014.22 and 183,523.96

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Solution

The fourth proportional to 464,006.76, 696,014.22 and 183,523.96 is: 275,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,006.76 : 696,014.22 = 183,523.96 : x
  2. Step 2: Convert to fraction form
    464,006.76/696,014.22 = 183,523.96/x
  3. Step 3: Cross multiply
    464,006.76x = 696,014.22 × 183,523.96
  4. Step 4: Simplify right side
    464,006.76x = 127,735,285,870.71
  5. Step 5: Solve for x
    x = 127,735,285,870.71/464,006.76
  6. Step 6: Final answer
    x = 275,287.55

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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.