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Finding the Fourth Proportional to 309,422.91, 463,866.02 and 119,752.71

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Solution

The fourth proportional to 309,422.91, 463,866.02 and 119,752.71 is: 179,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,422.91 : 463,866.02 = 119,752.71 : x
  2. Step 2: Convert to fraction form
    309,422.91/463,866.02 = 119,752.71/x
  3. Step 3: Cross multiply
    309,422.91x = 463,866.02 × 119,752.71
  4. Step 4: Simplify right side
    309,422.91x = 55,549,213,271.30
  5. Step 5: Solve for x
    x = 55,549,213,271.30/309,422.91
  6. Step 6: Final answer
    x = 179,525.21

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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.