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Finding the Fourth Proportional to 812,256.66, 1,219,503.06 and 413,167.50

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Solution

The fourth proportional to 812,256.66, 1,219,503.06 and 413,167.50 is: 620,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,256.66 : 1,219,503.06 = 413,167.50 : x
  2. Step 2: Convert to fraction form
    812,256.66/1,219,503.06 = 413,167.50/x
  3. Step 3: Cross multiply
    812,256.66x = 1,219,503.06 × 413,167.50
  4. Step 4: Simplify right side
    812,256.66x = 503,859,030,542.55
  5. Step 5: Solve for x
    x = 503,859,030,542.55/812,256.66
  6. Step 6: Final answer
    x = 620,319.97

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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.