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Finding the Fourth Proportional to 513,142.08, 708,123.84 and 286,808.64

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Solution

The fourth proportional to 513,142.08, 708,123.84 and 286,808.64 is: 395,789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,142.08 : 708,123.84 = 286,808.64 : x
  2. Step 2: Convert to fraction form
    513,142.08/708,123.84 = 286,808.64/x
  3. Step 3: Cross multiply
    513,142.08x = 708,123.84 × 286,808.64
  4. Step 4: Simplify right side
    513,142.08x = 203,096,035,501.98
  5. Step 5: Solve for x
    x = 203,096,035,501.98/513,142.08
  6. Step 6: Final answer
    x = 395,789.09

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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.