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Finding the Fourth Proportional to 320,593.73, 442,416.02 and 175,398.14

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Solution

The fourth proportional to 320,593.73, 442,416.02 and 175,398.14 is: 242,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,593.73 : 442,416.02 = 175,398.14 : x
  2. Step 2: Convert to fraction form
    320,593.73/442,416.02 = 175,398.14/x
  3. Step 3: Cross multiply
    320,593.73x = 442,416.02 × 175,398.14
  4. Step 4: Simplify right side
    320,593.73x = 77,598,948,558.74
  5. Step 5: Solve for x
    x = 77,598,948,558.74/320,593.73
  6. Step 6: Final answer
    x = 242,047.62

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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.