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Finding the Fourth Proportional to 429,049.96, 589,989.36 and 372,362.92

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Solution

The fourth proportional to 429,049.96, 589,989.36 and 372,362.92 is: 512,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,049.96 : 589,989.36 = 372,362.92 : x
  2. Step 2: Convert to fraction form
    429,049.96/589,989.36 = 372,362.92/x
  3. Step 3: Cross multiply
    429,049.96x = 589,989.36 × 372,362.92
  4. Step 4: Simplify right side
    429,049.96x = 219,690,160,858.53
  5. Step 5: Solve for x
    x = 219,690,160,858.53/429,049.96
  6. Step 6: Final answer
    x = 512,038.65

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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.