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Finding the Fourth Proportional to 468,328.26, 646,294.92 and 253,468.27

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Solution

The fourth proportional to 468,328.26, 646,294.92 and 253,468.27 is: 349,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,328.26 : 646,294.92 = 253,468.27 : x
  2. Step 2: Convert to fraction form
    468,328.26/646,294.92 = 253,468.27/x
  3. Step 3: Cross multiply
    468,328.26x = 646,294.92 × 253,468.27
  4. Step 4: Simplify right side
    468,328.26x = 163,815,255,139.55
  5. Step 5: Solve for x
    x = 163,815,255,139.55/468,328.26
  6. Step 6: Final answer
    x = 349,787.25

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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.