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Finding the Fourth Proportional to 434,165.61, 650,126.82 and 299,644.77

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Solution

The fourth proportional to 434,165.61, 650,126.82 and 299,644.77 is: 448,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,165.61 : 650,126.82 = 299,644.77 : x
  2. Step 2: Convert to fraction form
    434,165.61/650,126.82 = 299,644.77/x
  3. Step 3: Cross multiply
    434,165.61x = 650,126.82 × 299,644.77
  4. Step 4: Simplify right side
    434,165.61x = 194,807,101,449.73
  5. Step 5: Solve for x
    x = 194,807,101,449.73/434,165.61
  6. Step 6: Final answer
    x = 448,693.07

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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.