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Finding the Fourth Proportional to 287,209.60, 430,814.40 and 227,723.20

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Solution

The fourth proportional to 287,209.60, 430,814.40 and 227,723.20 is: 341,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,209.60 : 430,814.40 = 227,723.20 : x
  2. Step 2: Convert to fraction form
    287,209.60/430,814.40 = 227,723.20/x
  3. Step 3: Cross multiply
    287,209.60x = 430,814.40 × 227,723.20
  4. Step 4: Simplify right side
    287,209.60x = 98,106,433,774.08
  5. Step 5: Solve for x
    x = 98,106,433,774.08/287,209.60
  6. Step 6: Final answer
    x = 341,584.80

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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.