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Finding the Fourth Proportional to 404,761.68, 607,031.75 and 152,022.65

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Solution

The fourth proportional to 404,761.68, 607,031.75 and 152,022.65 is: 227,992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,761.68 : 607,031.75 = 152,022.65 : x
  2. Step 2: Convert to fraction form
    404,761.68/607,031.75 = 152,022.65/x
  3. Step 3: Cross multiply
    404,761.68x = 607,031.75 × 152,022.65
  4. Step 4: Simplify right side
    404,761.68x = 92,282,572,614.04
  5. Step 5: Solve for x
    x = 92,282,572,614.04/404,761.68
  6. Step 6: Final answer
    x = 227,992.36

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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.