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Finding the Fourth Proportional to 397,380.30, 596,726.55 and 264,848.10

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Solution

The fourth proportional to 397,380.30, 596,726.55 and 264,848.10 is: 397,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,380.30 : 596,726.55 = 264,848.10 : x
  2. Step 2: Convert to fraction form
    397,380.30/596,726.55 = 264,848.10/x
  3. Step 3: Cross multiply
    397,380.30x = 596,726.55 × 264,848.10
  4. Step 4: Simplify right side
    397,380.30x = 158,041,892,987.06
  5. Step 5: Solve for x
    x = 158,041,892,987.06/397,380.30
  6. Step 6: Final answer
    x = 397,709.43

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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.