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Finding the Fourth Proportional to 390,195.88, 584,842.02 and 179,391.40

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Solution

The fourth proportional to 390,195.88, 584,842.02 and 179,391.40 is: 268,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,195.88 : 584,842.02 = 179,391.40 : x
  2. Step 2: Convert to fraction form
    390,195.88/584,842.02 = 179,391.40/x
  3. Step 3: Cross multiply
    390,195.88x = 584,842.02 × 179,391.40
  4. Step 4: Simplify right side
    390,195.88x = 104,915,628,746.63
  5. Step 5: Solve for x
    x = 104,915,628,746.63/390,195.88
  6. Step 6: Final answer
    x = 268,879.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.