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Finding the Fourth Proportional to 513,646.20, 708,813.84 and 284,199.84

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Solution

The fourth proportional to 513,646.20, 708,813.84 and 284,199.84 is: 392,185.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,646.20 : 708,813.84 = 284,199.84 : x
  2. Step 2: Convert to fraction form
    513,646.20/708,813.84 = 284,199.84/x
  3. Step 3: Cross multiply
    513,646.20x = 708,813.84 × 284,199.84
  4. Step 4: Simplify right side
    513,646.20x = 201,444,779,917.79
  5. Step 5: Solve for x
    x = 201,444,779,917.79/513,646.20
  6. Step 6: Final answer
    x = 392,185.87

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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.