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Finding the Fourth Proportional to 552,913.97, 829,325.31 and 153,564.14

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Solution

The fourth proportional to 552,913.97, 829,325.31 and 153,564.14 is: 230,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,913.97 : 829,325.31 = 153,564.14 : x
  2. Step 2: Convert to fraction form
    552,913.97/829,325.31 = 153,564.14/x
  3. Step 3: Cross multiply
    552,913.97x = 829,325.31 × 153,564.14
  4. Step 4: Simplify right side
    552,913.97x = 127,354,628,010.38
  5. Step 5: Solve for x
    x = 127,354,628,010.38/552,913.97
  6. Step 6: Final answer
    x = 230,333.53

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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.