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Finding the Fourth Proportional to 458,015.28, 686,275.92 and 233,066.40

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Solution

The fourth proportional to 458,015.28, 686,275.92 and 233,066.40 is: 349,219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,015.28 : 686,275.92 = 233,066.40 : x
  2. Step 2: Convert to fraction form
    458,015.28/686,275.92 = 233,066.40/x
  3. Step 3: Cross multiply
    458,015.28x = 686,275.92 × 233,066.40
  4. Step 4: Simplify right side
    458,015.28x = 159,947,858,081.09
  5. Step 5: Solve for x
    x = 159,947,858,081.09/458,015.28
  6. Step 6: Final answer
    x = 349,219.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.