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Finding the Fourth Proportional to 500,870.16, 691,201.62 and 294,098.58

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Solution

The fourth proportional to 500,870.16, 691,201.62 and 294,098.58 is: 405,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,870.16 : 691,201.62 = 294,098.58 : x
  2. Step 2: Convert to fraction form
    500,870.16/691,201.62 = 294,098.58/x
  3. Step 3: Cross multiply
    500,870.16x = 691,201.62 × 294,098.58
  4. Step 4: Simplify right side
    500,870.16x = 203,281,414,935.70
  5. Step 5: Solve for x
    x = 203,281,414,935.70/500,870.16
  6. Step 6: Final answer
    x = 405,856.51

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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.