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Finding the Fourth Proportional to 288,765.83, 433,541.72 and 162,495.29

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Solution

The fourth proportional to 288,765.83, 433,541.72 and 162,495.29 is: 243,964.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,765.83 : 433,541.72 = 162,495.29 : x
  2. Step 2: Convert to fraction form
    288,765.83/433,541.72 = 162,495.29/x
  3. Step 3: Cross multiply
    288,765.83x = 433,541.72 × 162,495.29
  4. Step 4: Simplify right side
    288,765.83x = 70,448,485,350.79
  5. Step 5: Solve for x
    x = 70,448,485,350.79/288,765.83
  6. Step 6: Final answer
    x = 243,964.06

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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.