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Finding the Fourth Proportional to 288,899.66, 433,423.31 and 111,359.00

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Solution

The fourth proportional to 288,899.66, 433,423.31 and 111,359.00 is: 167,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,899.66 : 433,423.31 = 111,359.00 : x
  2. Step 2: Convert to fraction form
    288,899.66/433,423.31 = 111,359.00/x
  3. Step 3: Cross multiply
    288,899.66x = 433,423.31 × 111,359.00
  4. Step 4: Simplify right side
    288,899.66x = 48,265,586,905.05
  5. Step 5: Solve for x
    x = 48,265,586,905.05/288,899.66
  6. Step 6: Final answer
    x = 167,066.95

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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.