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Finding the Fourth Proportional to 429,903.94, 593,083.41 and 268,478.74

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Solution

The fourth proportional to 429,903.94, 593,083.41 and 268,478.74 is: 370,385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,903.94 : 593,083.41 = 268,478.74 : x
  2. Step 2: Convert to fraction form
    429,903.94/593,083.41 = 268,478.74/x
  3. Step 3: Cross multiply
    429,903.94x = 593,083.41 × 268,478.74
  4. Step 4: Simplify right side
    429,903.94x = 159,230,286,631.70
  5. Step 5: Solve for x
    x = 159,230,286,631.70/429,903.94
  6. Step 6: Final answer
    x = 370,385.73

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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.