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Finding the Fourth Proportional to 526,809.41, 726,994.14 and 285,091.91

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Solution

The fourth proportional to 526,809.41, 726,994.14 and 285,091.91 is: 393,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,809.41 : 726,994.14 = 285,091.91 : x
  2. Step 2: Convert to fraction form
    526,809.41/726,994.14 = 285,091.91/x
  3. Step 3: Cross multiply
    526,809.41x = 726,994.14 × 285,091.91
  4. Step 4: Simplify right side
    526,809.41x = 207,260,147,931.41
  5. Step 5: Solve for x
    x = 207,260,147,931.41/526,809.41
  6. Step 6: Final answer
    x = 393,425.30

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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.