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Finding the Fourth Proportional to 535,396.80, 802,484.64 and 254,516.16

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Solution

The fourth proportional to 535,396.80, 802,484.64 and 254,516.16 is: 381,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,396.80 : 802,484.64 = 254,516.16 : x
  2. Step 2: Convert to fraction form
    535,396.80/802,484.64 = 254,516.16/x
  3. Step 3: Cross multiply
    535,396.80x = 802,484.64 × 254,516.16
  4. Step 4: Simplify right side
    535,396.80x = 204,245,309,031.78
  5. Step 5: Solve for x
    x = 204,245,309,031.78/535,396.80
  6. Step 6: Final answer
    x = 381,483.99

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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.