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Finding the Fourth Proportional to 466,581.24, 700,714.98 and 429,072.12

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Solution

The fourth proportional to 466,581.24, 700,714.98 and 429,072.12 is: 644,383.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,581.24 : 700,714.98 = 429,072.12 : x
  2. Step 2: Convert to fraction form
    466,581.24/700,714.98 = 429,072.12/x
  3. Step 3: Cross multiply
    466,581.24x = 700,714.98 × 429,072.12
  4. Step 4: Simplify right side
    466,581.24x = 300,657,261,984.36
  5. Step 5: Solve for x
    x = 300,657,261,984.36/466,581.24
  6. Step 6: Final answer
    x = 644,383.52

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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.