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Finding the Fourth Proportional to 552,823.87, 829,240.42 and 153,495.78

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Solution

The fourth proportional to 552,823.87, 829,240.42 and 153,495.78 is: 230,244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,823.87 : 829,240.42 = 153,495.78 : x
  2. Step 2: Convert to fraction form
    552,823.87/829,240.42 = 153,495.78/x
  3. Step 3: Cross multiply
    552,823.87x = 829,240.42 × 153,495.78
  4. Step 4: Simplify right side
    552,823.87x = 127,284,904,307.95
  5. Step 5: Solve for x
    x = 127,284,904,307.95/552,823.87
  6. Step 6: Final answer
    x = 230,244.95

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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.