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Finding the Fourth Proportional to 230,783.20, 345,406.80 and 167,423.20

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Solution

The fourth proportional to 230,783.20, 345,406.80 and 167,423.20 is: 250,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,783.20 : 345,406.80 = 167,423.20 : x
  2. Step 2: Convert to fraction form
    230,783.20/345,406.80 = 167,423.20/x
  3. Step 3: Cross multiply
    230,783.20x = 345,406.80 × 167,423.20
  4. Step 4: Simplify right side
    230,783.20x = 57,829,111,757.76
  5. Step 5: Solve for x
    x = 57,829,111,757.76/230,783.20
  6. Step 6: Final answer
    x = 250,577.65

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1.5x scale

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.