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Finding the Fourth Proportional to 406,159.88, 609,224.70 and 106,637.72

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Solution

The fourth proportional to 406,159.88, 609,224.70 and 106,637.72 is: 159,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,159.88 : 609,224.70 = 106,637.72 : x
  2. Step 2: Convert to fraction form
    406,159.88/609,224.70 = 106,637.72/x
  3. Step 3: Cross multiply
    406,159.88x = 609,224.70 × 106,637.72
  4. Step 4: Simplify right side
    406,159.88x = 64,966,332,975.68
  5. Step 5: Solve for x
    x = 64,966,332,975.68/406,159.88
  6. Step 6: Final answer
    x = 159,952.61

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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.