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Finding the Fourth Proportional to 697,692, 1,046,694 and 254,460

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Solution

The fourth proportional to 697,692, 1,046,694 and 254,460 is: 381,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,692 : 1,046,694 = 254,460 : x
  2. Step 2: Convert to fraction form
    697,692/1,046,694 = 254,460/x
  3. Step 3: Cross multiply
    697,692x = 1,046,694 × 254,460
  4. Step 4: Simplify right side
    697,692x = 266,341,755,240
  5. Step 5: Solve for x
    x = 266,341,755,240/697,692
  6. Step 6: Final answer
    x = 381,746.90

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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.