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Finding the Fourth Proportional to 288,633.80, 433,533.90 and 278,719.40

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Solution

The fourth proportional to 288,633.80, 433,533.90 and 278,719.40 is: 418,642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,633.80 : 433,533.90 = 278,719.40 : x
  2. Step 2: Convert to fraction form
    288,633.80/433,533.90 = 278,719.40/x
  3. Step 3: Cross multiply
    288,633.80x = 433,533.90 × 278,719.40
  4. Step 4: Simplify right side
    288,633.80x = 120,834,308,487.66
  5. Step 5: Solve for x
    x = 120,834,308,487.66/288,633.80
  6. Step 6: Final answer
    x = 418,642.27

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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.