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Finding the Fourth Proportional to 493,702.80, 681,312.36 and 267,349.20

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Solution

The fourth proportional to 493,702.80, 681,312.36 and 267,349.20 is: 368,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,702.80 : 681,312.36 = 267,349.20 : x
  2. Step 2: Convert to fraction form
    493,702.80/681,312.36 = 267,349.20/x
  3. Step 3: Cross multiply
    493,702.80x = 681,312.36 × 267,349.20
  4. Step 4: Simplify right side
    493,702.80x = 182,148,314,396.11
  5. Step 5: Solve for x
    x = 182,148,314,396.11/493,702.80
  6. Step 6: Final answer
    x = 368,943.25

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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.