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Finding the Fourth Proportional to 699,827.68, 965,429.58 and 413,155.72

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Solution

The fourth proportional to 699,827.68, 965,429.58 and 413,155.72 is: 569,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,827.68 : 965,429.58 = 413,155.72 : x
  2. Step 2: Convert to fraction form
    699,827.68/965,429.58 = 413,155.72/x
  3. Step 3: Cross multiply
    699,827.68x = 965,429.58 × 413,155.72
  4. Step 4: Simplify right side
    699,827.68x = 398,872,753,234.20
  5. Step 5: Solve for x
    x = 398,872,753,234.20/699,827.68
  6. Step 6: Final answer
    x = 569,958.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.