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Finding the Fourth Proportional to 468,282.71, 646,231.29 and 253,424.34

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Solution

The fourth proportional to 468,282.71, 646,231.29 and 253,424.34 is: 349,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,282.71 : 646,231.29 = 253,424.34 : x
  2. Step 2: Convert to fraction form
    468,282.71/646,231.29 = 253,424.34/x
  3. Step 3: Cross multiply
    468,282.71x = 646,231.29 × 253,424.34
  4. Step 4: Simplify right side
    468,282.71x = 163,770,733,657.32
  5. Step 5: Solve for x
    x = 163,770,733,657.32/468,282.71
  6. Step 6: Final answer
    x = 349,726.20

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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.