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Finding the Fourth Proportional to 522,894.94, 721,595.03 and 296,540.44

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Solution

The fourth proportional to 522,894.94, 721,595.03 and 296,540.44 is: 409,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,894.94 : 721,595.03 = 296,540.44 : x
  2. Step 2: Convert to fraction form
    522,894.94/721,595.03 = 296,540.44/x
  3. Step 3: Cross multiply
    522,894.94x = 721,595.03 × 296,540.44
  4. Step 4: Simplify right side
    522,894.94x = 213,982,104,411.32
  5. Step 5: Solve for x
    x = 213,982,104,411.32/522,894.94
  6. Step 6: Final answer
    x = 409,225.81

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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.