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Finding the Fourth Proportional to 552,806.31, 829,214.10 and 153,478.22

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Solution

The fourth proportional to 552,806.31, 829,214.10 and 153,478.22 is: 230,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,806.31 : 829,214.10 = 153,478.22 : x
  2. Step 2: Convert to fraction form
    552,806.31/829,214.10 = 153,478.22/x
  3. Step 3: Cross multiply
    552,806.31x = 829,214.10 × 153,478.22
  4. Step 4: Simplify right side
    552,806.31x = 127,266,304,066.90
  5. Step 5: Solve for x
    x = 127,266,304,066.90/552,806.31
  6. Step 6: Final answer
    x = 230,218.62

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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.