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Finding the Fourth Proportional to 304,034, 419,566.92 and 169,898

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Solution

The fourth proportional to 304,034, 419,566.92 and 169,898 is: 234,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,034 : 419,566.92 = 169,898 : x
  2. Step 2: Convert to fraction form
    304,034/419,566.92 = 169,898/x
  3. Step 3: Cross multiply
    304,034x = 419,566.92 × 169,898
  4. Step 4: Simplify right side
    304,034x = 71,283,580,574.16
  5. Step 5: Solve for x
    x = 71,283,580,574.16/304,034
  6. Step 6: Final answer
    x = 234,459.24

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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.