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Finding the Fourth Proportional to 406,217.60, 608,894.40 and 195,718.40

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Solution

The fourth proportional to 406,217.60, 608,894.40 and 195,718.40 is: 293,369.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,217.60 : 608,894.40 = 195,718.40 : x
  2. Step 2: Convert to fraction form
    406,217.60/608,894.40 = 195,718.40/x
  3. Step 3: Cross multiply
    406,217.60x = 608,894.40 × 195,718.40
  4. Step 4: Simplify right side
    406,217.60x = 119,171,837,736.96
  5. Step 5: Solve for x
    x = 119,171,837,736.96/406,217.60
  6. Step 6: Final answer
    x = 293,369.46

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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.