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Finding the Fourth Proportional to 296,419.52, 444,635.88 and 106,895.18

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Solution

The fourth proportional to 296,419.52, 444,635.88 and 106,895.18 is: 160,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,419.52 : 444,635.88 = 106,895.18 : x
  2. Step 2: Convert to fraction form
    296,419.52/444,635.88 = 106,895.18/x
  3. Step 3: Cross multiply
    296,419.52x = 444,635.88 × 106,895.18
  4. Step 4: Simplify right side
    296,419.52x = 47,529,432,427.06
  5. Step 5: Solve for x
    x = 47,529,432,427.06/296,419.52
  6. Step 6: Final answer
    x = 160,345.15

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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.