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Finding the Fourth Proportional to 464,302.98, 696,651.30 and 253,694.88

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Solution

The fourth proportional to 464,302.98, 696,651.30 and 253,694.88 is: 380,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,302.98 : 696,651.30 = 253,694.88 : x
  2. Step 2: Convert to fraction form
    464,302.98/696,651.30 = 253,694.88/x
  3. Step 3: Cross multiply
    464,302.98x = 696,651.30 × 253,694.88
  4. Step 4: Simplify right side
    464,302.98x = 176,736,867,955.34
  5. Step 5: Solve for x
    x = 176,736,867,955.34/464,302.98
  6. Step 6: Final answer
    x = 380,649.87

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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.