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Finding the Fourth Proportional to 464,474.92, 695,530.62 and 306,223.24

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Solution

The fourth proportional to 464,474.92, 695,530.62 and 306,223.24 is: 458,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,474.92 : 695,530.62 = 306,223.24 : x
  2. Step 2: Convert to fraction form
    464,474.92/695,530.62 = 306,223.24/x
  3. Step 3: Cross multiply
    464,474.92x = 695,530.62 × 306,223.24
  4. Step 4: Simplify right side
    464,474.92x = 212,987,639,975.61
  5. Step 5: Solve for x
    x = 212,987,639,975.61/464,474.92
  6. Step 6: Final answer
    x = 458,555.74

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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.