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Finding the Fourth Proportional to 288,877.34, 433,081.24 and 120,523.12

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Solution

The fourth proportional to 288,877.34, 433,081.24 and 120,523.12 is: 180,686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,877.34 : 433,081.24 = 120,523.12 : x
  2. Step 2: Convert to fraction form
    288,877.34/433,081.24 = 120,523.12/x
  3. Step 3: Cross multiply
    288,877.34x = 433,081.24 × 120,523.12
  4. Step 4: Simplify right side
    288,877.34x = 52,196,302,258.27
  5. Step 5: Solve for x
    x = 52,196,302,258.27/288,877.34
  6. Step 6: Final answer
    x = 180,686.73

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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.