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Finding the Fourth Proportional to 532,836.30, 735,305.49 and 291,113.67

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Solution

The fourth proportional to 532,836.30, 735,305.49 and 291,113.67 is: 401,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,836.30 : 735,305.49 = 291,113.67 : x
  2. Step 2: Convert to fraction form
    532,836.30/735,305.49 = 291,113.67/x
  3. Step 3: Cross multiply
    532,836.30x = 735,305.49 × 291,113.67
  4. Step 4: Simplify right side
    532,836.30x = 214,057,479,765.05
  5. Step 5: Solve for x
    x = 214,057,479,765.05/532,836.30
  6. Step 6: Final answer
    x = 401,732.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.