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Finding the Fourth Proportional to 688,608.90, 1,032,972.88 and 189,972.90

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Solution

The fourth proportional to 688,608.90, 1,032,972.88 and 189,972.90 is: 284,975.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,608.90 : 1,032,972.88 = 189,972.90 : x
  2. Step 2: Convert to fraction form
    688,608.90/1,032,972.88 = 189,972.90/x
  3. Step 3: Cross multiply
    688,608.90x = 1,032,972.88 × 189,972.90
  4. Step 4: Simplify right side
    688,608.90x = 196,236,853,634.95
  5. Step 5: Solve for x
    x = 196,236,853,634.95/688,608.90
  6. Step 6: Final answer
    x = 284,975.77

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1.5x scale

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.