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Finding the Fourth Proportional to 335,097.80, 502,598.10 and 98,415.80

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Solution

The fourth proportional to 335,097.80, 502,598.10 and 98,415.80 is: 147,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,097.80 : 502,598.10 = 98,415.80 : x
  2. Step 2: Convert to fraction form
    335,097.80/502,598.10 = 98,415.80/x
  3. Step 3: Cross multiply
    335,097.80x = 502,598.10 × 98,415.80
  4. Step 4: Simplify right side
    335,097.80x = 49,463,594,089.98
  5. Step 5: Solve for x
    x = 49,463,594,089.98/335,097.80
  6. Step 6: Final answer
    x = 147,609.43

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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.