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Finding the Fourth Proportional to 228,434.49, 314,535.48 and 202,896.48

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Solution

The fourth proportional to 228,434.49, 314,535.48 and 202,896.48 is: 279,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,434.49 : 314,535.48 = 202,896.48 : x
  2. Step 2: Convert to fraction form
    228,434.49/314,535.48 = 202,896.48/x
  3. Step 3: Cross multiply
    228,434.49x = 314,535.48 × 202,896.48
  4. Step 4: Simplify right side
    228,434.49x = 63,818,141,727.11
  5. Step 5: Solve for x
    x = 63,818,141,727.11/228,434.49
  6. Step 6: Final answer
    x = 279,371.74

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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.