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Finding the Fourth Proportional to 697,567, 1,046,360.34 and 198,931

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Solution

The fourth proportional to 697,567, 1,046,360.34 and 198,931 is: 298,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,567 : 1,046,360.34 = 198,931 : x
  2. Step 2: Convert to fraction form
    697,567/1,046,360.34 = 198,931/x
  3. Step 3: Cross multiply
    697,567x = 1,046,360.34 × 198,931
  4. Step 4: Simplify right side
    697,567x = 208,153,508,796.54
  5. Step 5: Solve for x
    x = 208,153,508,796.54/697,567
  6. Step 6: Final answer
    x = 298,399.31

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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.