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Finding the Fourth Proportional to 458,291.28, 686,623.56 and 191,464.56

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Solution

The fourth proportional to 458,291.28, 686,623.56 and 191,464.56 is: 286,857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,291.28 : 686,623.56 = 191,464.56 : x
  2. Step 2: Convert to fraction form
    458,291.28/686,623.56 = 191,464.56/x
  3. Step 3: Cross multiply
    458,291.28x = 686,623.56 × 191,464.56
  4. Step 4: Simplify right side
    458,291.28x = 131,464,077,801.03
  5. Step 5: Solve for x
    x = 131,464,077,801.03/458,291.28
  6. Step 6: Final answer
    x = 286,857.04

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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.