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Finding the Fourth Proportional to 414,328.31, 572,335.90 and 324,814.40

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Solution

The fourth proportional to 414,328.31, 572,335.90 and 324,814.40 is: 448,685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,328.31 : 572,335.90 = 324,814.40 : x
  2. Step 2: Convert to fraction form
    414,328.31/572,335.90 = 324,814.40/x
  3. Step 3: Cross multiply
    414,328.31x = 572,335.90 × 324,814.40
  4. Step 4: Simplify right side
    414,328.31x = 185,902,938,283.25
  5. Step 5: Solve for x
    x = 185,902,938,283.25/414,328.31
  6. Step 6: Final answer
    x = 448,685.10

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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.