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Finding the Fourth Proportional to 513,257.92, 708,060.54 and 332,028.21

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Solution

The fourth proportional to 513,257.92, 708,060.54 and 332,028.21 is: 458,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,257.92 : 708,060.54 = 332,028.21 : x
  2. Step 2: Convert to fraction form
    513,257.92/708,060.54 = 332,028.21/x
  3. Step 3: Cross multiply
    513,257.92x = 708,060.54 × 332,028.21
  4. Step 4: Simplify right side
    513,257.92x = 235,096,075,700.51
  5. Step 5: Solve for x
    x = 235,096,075,700.51/513,257.92
  6. Step 6: Final answer
    x = 458,046.66

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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.