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Finding the Fourth Proportional to 473,182.56, 709,769.79 and 118,194.12

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Solution

The fourth proportional to 473,182.56, 709,769.79 and 118,194.12 is: 177,290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,182.56 : 709,769.79 = 118,194.12 : x
  2. Step 2: Convert to fraction form
    473,182.56/709,769.79 = 118,194.12/x
  3. Step 3: Cross multiply
    473,182.56x = 709,769.79 × 118,194.12
  4. Step 4: Simplify right side
    473,182.56x = 83,890,615,731.63
  5. Step 5: Solve for x
    x = 83,890,615,731.63/473,182.56
  6. Step 6: Final answer
    x = 177,290.17

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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.