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Finding the Fourth Proportional to 408,055.10, 612,082.65 and 405,722.30

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Solution

The fourth proportional to 408,055.10, 612,082.65 and 405,722.30 is: 608,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,055.10 : 612,082.65 = 405,722.30 : x
  2. Step 2: Convert to fraction form
    408,055.10/612,082.65 = 405,722.30/x
  3. Step 3: Cross multiply
    408,055.10x = 612,082.65 × 405,722.30
  4. Step 4: Simplify right side
    408,055.10x = 248,335,580,548.10
  5. Step 5: Solve for x
    x = 248,335,580,548.10/408,055.10
  6. Step 6: Final answer
    x = 608,583.45

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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.