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Finding the Fourth Proportional to 417,063.88, 625,129.26 and 180,051.40

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Solution

The fourth proportional to 417,063.88, 625,129.26 and 180,051.40 is: 269,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,063.88 : 625,129.26 = 180,051.40 : x
  2. Step 2: Convert to fraction form
    417,063.88/625,129.26 = 180,051.40/x
  3. Step 3: Cross multiply
    417,063.88x = 625,129.26 × 180,051.40
  4. Step 4: Simplify right side
    417,063.88x = 112,555,398,443.96
  5. Step 5: Solve for x
    x = 112,555,398,443.96/417,063.88
  6. Step 6: Final answer
    x = 269,875.68

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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.