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Finding the Fourth Proportional to 462,811.17, 638,738.56 and 258,873.42

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Solution

The fourth proportional to 462,811.17, 638,738.56 and 258,873.42 is: 357,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,811.17 : 638,738.56 = 258,873.42 : x
  2. Step 2: Convert to fraction form
    462,811.17/638,738.56 = 258,873.42/x
  3. Step 3: Cross multiply
    462,811.17x = 638,738.56 × 258,873.42
  4. Step 4: Simplify right side
    462,811.17x = 165,352,434,639.03
  5. Step 5: Solve for x
    x = 165,352,434,639.03/462,811.17
  6. Step 6: Final answer
    x = 357,278.40

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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.