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Finding the Fourth Proportional to 442,798.23, 664,148.11 and 158,477.28

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Solution

The fourth proportional to 442,798.23, 664,148.11 and 158,477.28 is: 237,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,798.23 : 664,148.11 = 158,477.28 : x
  2. Step 2: Convert to fraction form
    442,798.23/664,148.11 = 158,477.28/x
  3. Step 3: Cross multiply
    442,798.23x = 664,148.11 × 158,477.28
  4. Step 4: Simplify right side
    442,798.23x = 105,252,382,273.01
  5. Step 5: Solve for x
    x = 105,252,382,273.01/442,798.23
  6. Step 6: Final answer
    x = 237,698.29

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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.