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Finding the Fourth Proportional to 443,005.48, 664,646.11 and 158,698.48

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Solution

The fourth proportional to 443,005.48, 664,646.11 and 158,698.48 is: 238,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,005.48 : 664,646.11 = 158,698.48 : x
  2. Step 2: Convert to fraction form
    443,005.48/664,646.11 = 158,698.48/x
  3. Step 3: Cross multiply
    443,005.48x = 664,646.11 × 158,698.48
  4. Step 4: Simplify right side
    443,005.48x = 105,478,327,828.97
  5. Step 5: Solve for x
    x = 105,478,327,828.97/443,005.48
  6. Step 6: Final answer
    x = 238,097.12

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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.