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Finding the Fourth Proportional to 534,208.32, 800,758.98 and 334,069.20

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Solution

The fourth proportional to 534,208.32, 800,758.98 and 334,069.20 is: 500,757.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,208.32 : 800,758.98 = 334,069.20 : x
  2. Step 2: Convert to fraction form
    534,208.32/800,758.98 = 334,069.20/x
  3. Step 3: Cross multiply
    534,208.32x = 800,758.98 × 334,069.20
  4. Step 4: Simplify right side
    534,208.32x = 267,508,911,841.42
  5. Step 5: Solve for x
    x = 267,508,911,841.42/534,208.32
  6. Step 6: Final answer
    x = 500,757.67

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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.