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Finding the Fourth Proportional to 335,097.30, 502,597.35 and 98,415.30

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Solution

The fourth proportional to 335,097.30, 502,597.35 and 98,415.30 is: 147,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,097.30 : 502,597.35 = 98,415.30 : x
  2. Step 2: Convert to fraction form
    335,097.30/502,597.35 = 98,415.30/x
  3. Step 3: Cross multiply
    335,097.30x = 502,597.35 × 98,415.30
  4. Step 4: Simplify right side
    335,097.30x = 49,463,268,979.46
  5. Step 5: Solve for x
    x = 49,463,268,979.46/335,097.30
  6. Step 6: Final answer
    x = 147,608.68

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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.