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Finding the Fourth Proportional to 467,872.29, 645,663.78 and 253,012.41

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Solution

The fourth proportional to 467,872.29, 645,663.78 and 253,012.41 is: 349,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,872.29 : 645,663.78 = 253,012.41 : x
  2. Step 2: Convert to fraction form
    467,872.29/645,663.78 = 253,012.41/x
  3. Step 3: Cross multiply
    467,872.29x = 645,663.78 × 253,012.41
  4. Step 4: Simplify right side
    467,872.29x = 163,360,949,027.51
  5. Step 5: Solve for x
    x = 163,360,949,027.51/467,872.29
  6. Step 6: Final answer
    x = 349,157.14

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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.