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Finding the Fourth Proportional to 502,913.90, 694,017.38 and 273,471.32

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Solution

The fourth proportional to 502,913.90, 694,017.38 and 273,471.32 is: 377,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,913.90 : 694,017.38 = 273,471.32 : x
  2. Step 2: Convert to fraction form
    502,913.90/694,017.38 = 273,471.32/x
  3. Step 3: Cross multiply
    502,913.90x = 694,017.38 × 273,471.32
  4. Step 4: Simplify right side
    502,913.90x = 189,793,849,011.54
  5. Step 5: Solve for x
    x = 189,793,849,011.54/502,913.90
  6. Step 6: Final answer
    x = 377,388.35

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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.