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Finding the Fourth Proportional to 270,914.20, 406,565.70 and 152,459.80

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Solution

The fourth proportional to 270,914.20, 406,565.70 and 152,459.80 is: 228,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,914.20 : 406,565.70 = 152,459.80 : x
  2. Step 2: Convert to fraction form
    270,914.20/406,565.70 = 152,459.80/x
  3. Step 3: Cross multiply
    270,914.20x = 406,565.70 × 152,459.80
  4. Step 4: Simplify right side
    270,914.20x = 61,984,925,308.86
  5. Step 5: Solve for x
    x = 61,984,925,308.86/270,914.20
  6. Step 6: Final answer
    x = 228,799.10

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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.