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Finding the Fourth Proportional to 389,769.60, 584,654.40 and 109,334.40

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Solution

The fourth proportional to 389,769.60, 584,654.40 and 109,334.40 is: 164,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,769.60 : 584,654.40 = 109,334.40 : x
  2. Step 2: Convert to fraction form
    389,769.60/584,654.40 = 109,334.40/x
  3. Step 3: Cross multiply
    389,769.60x = 584,654.40 × 109,334.40
  4. Step 4: Simplify right side
    389,769.60x = 63,922,838,031.36
  5. Step 5: Solve for x
    x = 63,922,838,031.36/389,769.60
  6. Step 6: Final answer
    x = 164,001.60

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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.