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Finding the Fourth Proportional to 513,652.77, 708,827.18 and 284,204.07

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Solution

The fourth proportional to 513,652.77, 708,827.18 and 284,204.07 is: 392,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,652.77 : 708,827.18 = 284,204.07 : x
  2. Step 2: Convert to fraction form
    513,652.77/708,827.18 = 284,204.07/x
  3. Step 3: Cross multiply
    513,652.77x = 708,827.18 × 284,204.07
  4. Step 4: Simplify right side
    513,652.77x = 201,451,569,482.62
  5. Step 5: Solve for x
    x = 201,451,569,482.62/513,652.77
  6. Step 6: Final answer
    x = 392,194.07

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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.