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Finding the Fourth Proportional to 288,456.41, 432,684.90 and 75,224.16

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Solution

The fourth proportional to 288,456.41, 432,684.90 and 75,224.16 is: 112,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,456.41 : 432,684.90 = 75,224.16 : x
  2. Step 2: Convert to fraction form
    288,456.41/432,684.90 = 75,224.16/x
  3. Step 3: Cross multiply
    288,456.41x = 432,684.90 × 75,224.16
  4. Step 4: Simplify right side
    288,456.41x = 32,548,358,147.18
  5. Step 5: Solve for x
    x = 32,548,358,147.18/288,456.41
  6. Step 6: Final answer
    x = 112,836.32

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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.