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Finding the Fourth Proportional to 288,878.34, 433,082.74 and 120,524.12

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Solution

The fourth proportional to 288,878.34, 433,082.74 and 120,524.12 is: 180,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,878.34 : 433,082.74 = 120,524.12 : x
  2. Step 2: Convert to fraction form
    288,878.34/433,082.74 = 120,524.12/x
  3. Step 3: Cross multiply
    288,878.34x = 433,082.74 × 120,524.12
  4. Step 4: Simplify right side
    288,878.34x = 52,196,916,125.69
  5. Step 5: Solve for x
    x = 52,196,916,125.69/288,878.34
  6. Step 6: Final answer
    x = 180,688.23

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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.