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Finding the Fourth Proportional to 334,900.80, 502,302.60 and 98,218.80

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Solution

The fourth proportional to 334,900.80, 502,302.60 and 98,218.80 is: 147,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,900.80 : 502,302.60 = 98,218.80 : x
  2. Step 2: Convert to fraction form
    334,900.80/502,302.60 = 98,218.80/x
  3. Step 3: Cross multiply
    334,900.80x = 502,302.60 × 98,218.80
  4. Step 4: Simplify right side
    334,900.80x = 49,335,558,608.88
  5. Step 5: Solve for x
    x = 49,335,558,608.88/334,900.80
  6. Step 6: Final answer
    x = 147,313.95

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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.