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Finding the Fourth Proportional to 384,548.94, 576,856.22 and 100,277.22

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Solution

The fourth proportional to 384,548.94, 576,856.22 and 100,277.22 is: 150,424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,548.94 : 576,856.22 = 100,277.22 : x
  2. Step 2: Convert to fraction form
    384,548.94/576,856.22 = 100,277.22/x
  3. Step 3: Cross multiply
    384,548.94x = 576,856.22 × 100,277.22
  4. Step 4: Simplify right side
    384,548.94x = 57,845,538,081.31
  5. Step 5: Solve for x
    x = 57,845,538,081.31/384,548.94
  6. Step 6: Final answer
    x = 150,424.39

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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.