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Finding the Fourth Proportional to 334,471.60, 501,707.40 and 201,761.20

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Solution

The fourth proportional to 334,471.60, 501,707.40 and 201,761.20 is: 302,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,471.60 : 501,707.40 = 201,761.20 : x
  2. Step 2: Convert to fraction form
    334,471.60/501,707.40 = 201,761.20/x
  3. Step 3: Cross multiply
    334,471.60x = 501,707.40 × 201,761.20
  4. Step 4: Simplify right side
    334,471.60x = 101,225,087,072.88
  5. Step 5: Solve for x
    x = 101,225,087,072.88/334,471.60
  6. Step 6: Final answer
    x = 302,641.80

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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.