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Finding the Fourth Proportional to 384,634.20, 577,057.95 and 160,100.40

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Solution

The fourth proportional to 384,634.20, 577,057.95 and 160,100.40 is: 240,194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,634.20 : 577,057.95 = 160,100.40 : x
  2. Step 2: Convert to fraction form
    384,634.20/577,057.95 = 160,100.40/x
  3. Step 3: Cross multiply
    384,634.20x = 577,057.95 × 160,100.40
  4. Step 4: Simplify right side
    384,634.20x = 92,387,208,618.18
  5. Step 5: Solve for x
    x = 92,387,208,618.18/384,634.20
  6. Step 6: Final answer
    x = 240,194.99

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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.