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Finding the Fourth Proportional to 301,566.20, 416,131.90 and 174,239.06

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Solution

The fourth proportional to 301,566.20, 416,131.90 and 174,239.06 is: 240,432.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,566.20 : 416,131.90 = 174,239.06 : x
  2. Step 2: Convert to fraction form
    301,566.20/416,131.90 = 174,239.06/x
  3. Step 3: Cross multiply
    301,566.20x = 416,131.90 × 174,239.06
  4. Step 4: Simplify right side
    301,566.20x = 72,506,428,140.16
  5. Step 5: Solve for x
    x = 72,506,428,140.16/301,566.20
  6. Step 6: Final answer
    x = 240,432.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.