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Finding the Fourth Proportional to 526,047.64, 725,989.98 and 322,097.56

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Solution

The fourth proportional to 526,047.64, 725,989.98 and 322,097.56 is: 444,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,047.64 : 725,989.98 = 322,097.56 : x
  2. Step 2: Convert to fraction form
    526,047.64/725,989.98 = 322,097.56/x
  3. Step 3: Cross multiply
    526,047.64x = 725,989.98 × 322,097.56
  4. Step 4: Simplify right side
    526,047.64x = 233,839,601,142.45
  5. Step 5: Solve for x
    x = 233,839,601,142.45/526,047.64
  6. Step 6: Final answer
    x = 444,521.72

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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.