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Finding the Fourth Proportional to 697,566, 1,046,358.84 and 198,930

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Solution

The fourth proportional to 697,566, 1,046,358.84 and 198,930 is: 298,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,566 : 1,046,358.84 = 198,930 : x
  2. Step 2: Convert to fraction form
    697,566/1,046,358.84 = 198,930/x
  3. Step 3: Cross multiply
    697,566x = 1,046,358.84 × 198,930
  4. Step 4: Simplify right side
    697,566x = 208,152,164,041.20
  5. Step 5: Solve for x
    x = 208,152,164,041.20/697,566
  6. Step 6: Final answer
    x = 298,397.81

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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.