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Finding the Fourth Proportional to 700,702.49, 966,969.38 and 378,412.55

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Solution

The fourth proportional to 700,702.49, 966,969.38 and 378,412.55 is: 522,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,702.49 : 966,969.38 = 378,412.55 : x
  2. Step 2: Convert to fraction form
    700,702.49/966,969.38 = 378,412.55/x
  3. Step 3: Cross multiply
    700,702.49x = 966,969.38 × 378,412.55
  4. Step 4: Simplify right side
    700,702.49x = 365,913,346,965.66
  5. Step 5: Solve for x
    x = 365,913,346,965.66/700,702.49
  6. Step 6: Final answer
    x = 522,209.29

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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.