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Finding the Fourth Proportional to 407,859.20, 611,788.80 and 171,663.20

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Solution

The fourth proportional to 407,859.20, 611,788.80 and 171,663.20 is: 257,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,859.20 : 611,788.80 = 171,663.20 : x
  2. Step 2: Convert to fraction form
    407,859.20/611,788.80 = 171,663.20/x
  3. Step 3: Cross multiply
    407,859.20x = 611,788.80 × 171,663.20
  4. Step 4: Simplify right side
    407,859.20x = 105,021,623,132.16
  5. Step 5: Solve for x
    x = 105,021,623,132.16/407,859.20
  6. Step 6: Final answer
    x = 257,494.80

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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.