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Finding the Fourth Proportional to 687,601.60, 948,842.70 and 381,653.92

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Solution

The fourth proportional to 687,601.60, 948,842.70 and 381,653.92 is: 526,656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,601.60 : 948,842.70 = 381,653.92 : x
  2. Step 2: Convert to fraction form
    687,601.60/948,842.70 = 381,653.92/x
  3. Step 3: Cross multiply
    687,601.60x = 948,842.70 × 381,653.92
  4. Step 4: Simplify right side
    687,601.60x = 362,129,535,918.38
  5. Step 5: Solve for x
    x = 362,129,535,918.38/687,601.60
  6. Step 6: Final answer
    x = 526,656.04

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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.