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Finding the Fourth Proportional to 406,227.60, 608,909.40 and 195,728.40

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Solution

The fourth proportional to 406,227.60, 608,909.40 and 195,728.40 is: 293,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,227.60 : 608,909.40 = 195,728.40 : x
  2. Step 2: Convert to fraction form
    406,227.60/608,909.40 = 195,728.40/x
  3. Step 3: Cross multiply
    406,227.60x = 608,909.40 × 195,728.40
  4. Step 4: Simplify right side
    406,227.60x = 119,180,862,606.96
  5. Step 5: Solve for x
    x = 119,180,862,606.96/406,227.60
  6. Step 6: Final answer
    x = 293,384.45

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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.