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Finding the Fourth Proportional to 353,881.82, 530,767.92 and 194,036.42

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Solution

The fourth proportional to 353,881.82, 530,767.92 and 194,036.42 is: 291,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,881.82 : 530,767.92 = 194,036.42 : x
  2. Step 2: Convert to fraction form
    353,881.82/530,767.92 = 194,036.42/x
  3. Step 3: Cross multiply
    353,881.82x = 530,767.92 × 194,036.42
  4. Step 4: Simplify right side
    353,881.82x = 102,988,307,047.65
  5. Step 5: Solve for x
    x = 102,988,307,047.65/353,881.82
  6. Step 6: Final answer
    x = 291,024.58

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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.