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Finding the Fourth Proportional to 408,048.30, 612,072.45 and 158,730.30

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Solution

The fourth proportional to 408,048.30, 612,072.45 and 158,730.30 is: 238,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,048.30 : 612,072.45 = 158,730.30 : x
  2. Step 2: Convert to fraction form
    408,048.30/612,072.45 = 158,730.30/x
  3. Step 3: Cross multiply
    408,048.30x = 612,072.45 × 158,730.30
  4. Step 4: Simplify right side
    408,048.30x = 97,154,443,610.24
  5. Step 5: Solve for x
    x = 97,154,443,610.24/408,048.30
  6. Step 6: Final answer
    x = 238,095.45

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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.