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Finding the Fourth Proportional to 409,316.58, 564,701.61 and 248,112.81

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Solution

The fourth proportional to 409,316.58, 564,701.61 and 248,112.81 is: 342,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,316.58 : 564,701.61 = 248,112.81 : x
  2. Step 2: Convert to fraction form
    409,316.58/564,701.61 = 248,112.81/x
  3. Step 3: Cross multiply
    409,316.58x = 564,701.61 × 248,112.81
  4. Step 4: Simplify right side
    409,316.58x = 140,109,703,268.62
  5. Step 5: Solve for x
    x = 140,109,703,268.62/409,316.58
  6. Step 6: Final answer
    x = 342,301.56

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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.