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Finding the Fourth Proportional to 468,474.24, 646,494.66 and 253,614.30

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Solution

The fourth proportional to 468,474.24, 646,494.66 and 253,614.30 is: 349,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,474.24 : 646,494.66 = 253,614.30 : x
  2. Step 2: Convert to fraction form
    468,474.24/646,494.66 = 253,614.30/x
  3. Step 3: Cross multiply
    468,474.24x = 646,494.66 × 253,614.30
  4. Step 4: Simplify right side
    468,474.24x = 163,960,290,649.64
  5. Step 5: Solve for x
    x = 163,960,290,649.64/468,474.24
  6. Step 6: Final answer
    x = 349,987.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.