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Finding the Fourth Proportional to 296,657.34, 444,806.61 and 116,527.14

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Solution

The fourth proportional to 296,657.34, 444,806.61 and 116,527.14 is: 174,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,657.34 : 444,806.61 = 116,527.14 : x
  2. Step 2: Convert to fraction form
    296,657.34/444,806.61 = 116,527.14/x
  3. Step 3: Cross multiply
    296,657.34x = 444,806.61 × 116,527.14
  4. Step 4: Simplify right side
    296,657.34x = 51,832,042,116.40
  5. Step 5: Solve for x
    x = 51,832,042,116.40/296,657.34
  6. Step 6: Final answer
    x = 174,720.24

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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.