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Finding the Fourth Proportional to 314,800.92, 434,495.39 and 200,057.19

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Solution

The fourth proportional to 314,800.92, 434,495.39 and 200,057.19 is: 276,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,800.92 : 434,495.39 = 200,057.19 : x
  2. Step 2: Convert to fraction form
    314,800.92/434,495.39 = 200,057.19/x
  3. Step 3: Cross multiply
    314,800.92x = 434,495.39 × 200,057.19
  4. Step 4: Simplify right side
    314,800.92x = 86,923,927,731.07
  5. Step 5: Solve for x
    x = 86,923,927,731.07/314,800.92
  6. Step 6: Final answer
    x = 276,123.48

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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.