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Finding the Fourth Proportional to 462,566.88, 638,334 and 261,358.56

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Solution

The fourth proportional to 462,566.88, 638,334 and 261,358.56 is: 360,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,566.88 : 638,334 = 261,358.56 : x
  2. Step 2: Convert to fraction form
    462,566.88/638,334 = 261,358.56/x
  3. Step 3: Cross multiply
    462,566.88x = 638,334 × 261,358.56
  4. Step 4: Simplify right side
    462,566.88x = 166,834,055,039.04
  5. Step 5: Solve for x
    x = 166,834,055,039.04/462,566.88
  6. Step 6: Final answer
    x = 360,670.13

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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.