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Finding the Fourth Proportional to 564,300.82, 846,448.28 and 199,832.80

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Solution

The fourth proportional to 564,300.82, 846,448.28 and 199,832.80 is: 299,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,300.82 : 846,448.28 = 199,832.80 : x
  2. Step 2: Convert to fraction form
    564,300.82/846,448.28 = 199,832.80/x
  3. Step 3: Cross multiply
    564,300.82x = 846,448.28 × 199,832.80
  4. Step 4: Simplify right side
    564,300.82x = 169,148,129,847.58
  5. Step 5: Solve for x
    x = 169,148,129,847.58/564,300.82
  6. Step 6: Final answer
    x = 299,748.16

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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.