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Finding the Fourth Proportional to 697,708, 1,046,718 and 254,476

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Solution

The fourth proportional to 697,708, 1,046,718 and 254,476 is: 381,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,708 : 1,046,718 = 254,476 : x
  2. Step 2: Convert to fraction form
    697,708/1,046,718 = 254,476/x
  3. Step 3: Cross multiply
    697,708x = 1,046,718 × 254,476
  4. Step 4: Simplify right side
    697,708x = 266,364,609,768
  5. Step 5: Solve for x
    x = 266,364,609,768/697,708
  6. Step 6: Final answer
    x = 381,770.90

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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.