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Finding the Fourth Proportional to 349,158.56, 523,967.44 and 191,497.68

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Solution

The fourth proportional to 349,158.56, 523,967.44 and 191,497.68 is: 287,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,158.56 : 523,967.44 = 191,497.68 : x
  2. Step 2: Convert to fraction form
    349,158.56/523,967.44 = 191,497.68/x
  3. Step 3: Cross multiply
    349,158.56x = 523,967.44 × 191,497.68
  4. Step 4: Simplify right side
    349,158.56x = 100,338,549,155.54
  5. Step 5: Solve for x
    x = 100,338,549,155.54/349,158.56
  6. Step 6: Final answer
    x = 287,372.45

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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.