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Finding the Fourth Proportional to 442,946.07, 664,348.03 and 158,583.83

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Solution

The fourth proportional to 442,946.07, 664,348.03 and 158,583.83 is: 237,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,946.07 : 664,348.03 = 158,583.83 : x
  2. Step 2: Convert to fraction form
    442,946.07/664,348.03 = 158,583.83/x
  3. Step 3: Cross multiply
    442,946.07x = 664,348.03 × 158,583.83
  4. Step 4: Simplify right side
    442,946.07x = 105,354,851,332.16
  5. Step 5: Solve for x
    x = 105,354,851,332.16/442,946.07
  6. Step 6: Final answer
    x = 237,850.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.