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Finding the Fourth Proportional to 462,709.76, 638,535.02 and 258,758.37

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Solution

The fourth proportional to 462,709.76, 638,535.02 and 258,758.37 is: 357,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,709.76 : 638,535.02 = 258,758.37 : x
  2. Step 2: Convert to fraction form
    462,709.76/638,535.02 = 258,758.37/x
  3. Step 3: Cross multiply
    462,709.76x = 638,535.02 × 258,758.37
  4. Step 4: Simplify right side
    462,709.76x = 165,226,279,669.33
  5. Step 5: Solve for x
    x = 165,226,279,669.33/462,709.76
  6. Step 6: Final answer
    x = 357,084.06

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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.