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Finding the Fourth Proportional to 311,810.90, 430,311.57 and 174,001.88

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Solution

The fourth proportional to 311,810.90, 430,311.57 and 174,001.88 is: 240,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,810.90 : 430,311.57 = 174,001.88 : x
  2. Step 2: Convert to fraction form
    311,810.90/430,311.57 = 174,001.88/x
  3. Step 3: Cross multiply
    311,810.90x = 430,311.57 × 174,001.88
  4. Step 4: Simplify right side
    311,810.90x = 74,875,022,165.75
  5. Step 5: Solve for x
    x = 74,875,022,165.75/311,810.90
  6. Step 6: Final answer
    x = 240,129.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.