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Finding the Fourth Proportional to 407,829.20, 611,830.20 and 123,496.40

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Solution

The fourth proportional to 407,829.20, 611,830.20 and 123,496.40 is: 185,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,829.20 : 611,830.20 = 123,496.40 : x
  2. Step 2: Convert to fraction form
    407,829.20/611,830.20 = 123,496.40/x
  3. Step 3: Cross multiply
    407,829.20x = 611,830.20 × 123,496.40
  4. Step 4: Simplify right side
    407,829.20x = 75,558,827,111.28
  5. Step 5: Solve for x
    x = 75,558,827,111.28/407,829.20
  6. Step 6: Final answer
    x = 185,270.76

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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.