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Finding the Fourth Proportional to 408,580.02, 612,872.64 and 142,345.50

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Solution

The fourth proportional to 408,580.02, 612,872.64 and 142,345.50 is: 213,519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,580.02 : 612,872.64 = 142,345.50 : x
  2. Step 2: Convert to fraction form
    408,580.02/612,872.64 = 142,345.50/x
  3. Step 3: Cross multiply
    408,580.02x = 612,872.64 × 142,345.50
  4. Step 4: Simplify right side
    408,580.02x = 87,239,662,377.12
  5. Step 5: Solve for x
    x = 87,239,662,377.12/408,580.02
  6. Step 6: Final answer
    x = 213,519.16

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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.