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Finding the Fourth Proportional to 564,298.78, 846,445.26 and 199,830.82

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Solution

The fourth proportional to 564,298.78, 846,445.26 and 199,830.82 is: 299,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,298.78 : 846,445.26 = 199,830.82 : x
  2. Step 2: Convert to fraction form
    564,298.78/846,445.26 = 199,830.82/x
  3. Step 3: Cross multiply
    564,298.78x = 846,445.26 × 199,830.82
  4. Step 4: Simplify right side
    564,298.78x = 169,145,850,390.91
  5. Step 5: Solve for x
    x = 169,145,850,390.91/564,298.78
  6. Step 6: Final answer
    x = 299,745.20

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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.