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Finding the Fourth Proportional to 286,475.84, 427,610.92 and 265,364

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Solution

The fourth proportional to 286,475.84, 427,610.92 and 265,364 is: 396,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,475.84 : 427,610.92 = 265,364 : x
  2. Step 2: Convert to fraction form
    286,475.84/427,610.92 = 265,364/x
  3. Step 3: Cross multiply
    286,475.84x = 427,610.92 × 265,364
  4. Step 4: Simplify right side
    286,475.84x = 113,472,544,174.88
  5. Step 5: Solve for x
    x = 113,472,544,174.88/286,475.84
  6. Step 6: Final answer
    x = 396,098.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.