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Finding the Fourth Proportional to 472,991.64, 652,724.28 and 258,124.56

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Solution

The fourth proportional to 472,991.64, 652,724.28 and 258,124.56 is: 356,209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,991.64 : 652,724.28 = 258,124.56 : x
  2. Step 2: Convert to fraction form
    472,991.64/652,724.28 = 258,124.56/x
  3. Step 3: Cross multiply
    472,991.64x = 652,724.28 × 258,124.56
  4. Step 4: Simplify right side
    472,991.64x = 168,484,167,576.32
  5. Step 5: Solve for x
    x = 168,484,167,576.32/472,991.64
  6. Step 6: Final answer
    x = 356,209.61

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Why These Related Problems?

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