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Finding the Fourth Proportional to 697,422, 1,046,288.52 and 254,190

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Solution

The fourth proportional to 697,422, 1,046,288.52 and 254,190 is: 381,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,422 : 1,046,288.52 = 254,190 : x
  2. Step 2: Convert to fraction form
    697,422/1,046,288.52 = 254,190/x
  3. Step 3: Cross multiply
    697,422x = 1,046,288.52 × 254,190
  4. Step 4: Simplify right side
    697,422x = 265,956,078,898.80
  5. Step 5: Solve for x
    x = 265,956,078,898.80/697,422
  6. Step 6: Final answer
    x = 381,341.68

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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.