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Finding the Fourth Proportional to 369,082.59, 509,334 and 199,316.71

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Solution

The fourth proportional to 369,082.59, 509,334 and 199,316.71 is: 275,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,082.59 : 509,334 = 199,316.71 : x
  2. Step 2: Convert to fraction form
    369,082.59/509,334 = 199,316.71/x
  3. Step 3: Cross multiply
    369,082.59x = 509,334 × 199,316.71
  4. Step 4: Simplify right side
    369,082.59x = 101,518,777,171.14
  5. Step 5: Solve for x
    x = 101,518,777,171.14/369,082.59
  6. Step 6: Final answer
    x = 275,057.07

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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.