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Finding the Fourth Proportional to 522,923.84, 721,620.88 and 296,564.48

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Solution

The fourth proportional to 522,923.84, 721,620.88 and 296,564.48 is: 409,251.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,923.84 : 721,620.88 = 296,564.48 : x
  2. Step 2: Convert to fraction form
    522,923.84/721,620.88 = 296,564.48/x
  3. Step 3: Cross multiply
    522,923.84x = 721,620.88 × 296,564.48
  4. Step 4: Simplify right side
    522,923.84x = 214,007,121,034.34
  5. Step 5: Solve for x
    x = 214,007,121,034.34/522,923.84
  6. Step 6: Final answer
    x = 409,251.03

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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.