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Finding the Fourth Proportional to 442,798.86, 664,149.04 and 158,477.90

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Solution

The fourth proportional to 442,798.86, 664,149.04 and 158,477.90 is: 237,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,798.86 : 664,149.04 = 158,477.90 : x
  2. Step 2: Convert to fraction form
    442,798.86/664,149.04 = 158,477.90/x
  3. Step 3: Cross multiply
    442,798.86x = 664,149.04 × 158,477.90
  4. Step 4: Simplify right side
    442,798.86x = 105,252,945,146.22
  5. Step 5: Solve for x
    x = 105,252,945,146.22/442,798.86
  6. Step 6: Final answer
    x = 237,699.22

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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.