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Finding the Fourth Proportional to 320,594.42, 442,416.97 and 175,398.83

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Solution

The fourth proportional to 320,594.42, 442,416.97 and 175,398.83 is: 242,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,594.42 : 442,416.97 = 175,398.83 : x
  2. Step 2: Convert to fraction form
    320,594.42/442,416.97 = 175,398.83/x
  3. Step 3: Cross multiply
    320,594.42x = 442,416.97 × 175,398.83
  4. Step 4: Simplify right side
    320,594.42x = 77,599,418,910.15
  5. Step 5: Solve for x
    x = 77,599,418,910.15/320,594.42
  6. Step 6: Final answer
    x = 242,048.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.