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Finding the Fourth Proportional to 523,653.32, 722,597.19 and 294,192.61

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Solution

The fourth proportional to 523,653.32, 722,597.19 and 294,192.61 is: 405,960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,653.32 : 722,597.19 = 294,192.61 : x
  2. Step 2: Convert to fraction form
    523,653.32/722,597.19 = 294,192.61/x
  3. Step 3: Cross multiply
    523,653.32x = 722,597.19 × 294,192.61
  4. Step 4: Simplify right side
    523,653.32x = 212,582,753,304.77
  5. Step 5: Solve for x
    x = 212,582,753,304.77/523,653.32
  6. Step 6: Final answer
    x = 405,960.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.