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Finding the Fourth Proportional to 288,665.52, 432,998.82 and 111,256.08

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Solution

The fourth proportional to 288,665.52, 432,998.82 and 111,256.08 is: 166,884.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,665.52 : 432,998.82 = 111,256.08 : x
  2. Step 2: Convert to fraction form
    288,665.52/432,998.82 = 111,256.08/x
  3. Step 3: Cross multiply
    288,665.52x = 432,998.82 × 111,256.08
  4. Step 4: Simplify right side
    288,665.52x = 48,173,751,357.83
  5. Step 5: Solve for x
    x = 48,173,751,357.83/288,665.52
  6. Step 6: Final answer
    x = 166,884.33

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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.