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Finding the Fourth Proportional to 406,931.60, 609,965.40 and 196,432.40

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Solution

The fourth proportional to 406,931.60, 609,965.40 and 196,432.40 is: 294,440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,931.60 : 609,965.40 = 196,432.40 : x
  2. Step 2: Convert to fraction form
    406,931.60/609,965.40 = 196,432.40/x
  3. Step 3: Cross multiply
    406,931.60x = 609,965.40 × 196,432.40
  4. Step 4: Simplify right side
    406,931.60x = 119,816,967,438.96
  5. Step 5: Solve for x
    x = 119,816,967,438.96/406,931.60
  6. Step 6: Final answer
    x = 294,440.07

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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.