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Finding the Fourth Proportional to 401,029.40, 601,697.70 and 394,731.80

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Solution

The fourth proportional to 401,029.40, 601,697.70 and 394,731.80 is: 592,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,029.40 : 601,697.70 = 394,731.80 : x
  2. Step 2: Convert to fraction form
    401,029.40/601,697.70 = 394,731.80/x
  3. Step 3: Cross multiply
    401,029.40x = 601,697.70 × 394,731.80
  4. Step 4: Simplify right side
    401,029.40x = 237,509,216,176.86
  5. Step 5: Solve for x
    x = 237,509,216,176.86/401,029.40
  6. Step 6: Final answer
    x = 592,248.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.