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Finding the Fourth Proportional to 462,708.79, 638,551.25 and 258,767.39

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Solution

The fourth proportional to 462,708.79, 638,551.25 and 258,767.39 is: 357,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,708.79 : 638,551.25 = 258,767.39 : x
  2. Step 2: Convert to fraction form
    462,708.79/638,551.25 = 258,767.39/x
  3. Step 3: Cross multiply
    462,708.79x = 638,551.25 × 258,767.39
  4. Step 4: Simplify right side
    462,708.79x = 165,236,241,616.66
  5. Step 5: Solve for x
    x = 165,236,241,616.66/462,708.79
  6. Step 6: Final answer
    x = 357,106.34

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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.