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Finding the Fourth Proportional to 564,083.52, 846,128.20 and 190,109.76

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Solution

The fourth proportional to 564,083.52, 846,128.20 and 190,109.76 is: 285,165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,083.52 : 846,128.20 = 190,109.76 : x
  2. Step 2: Convert to fraction form
    564,083.52/846,128.20 = 190,109.76/x
  3. Step 3: Cross multiply
    564,083.52x = 846,128.20 × 190,109.76
  4. Step 4: Simplify right side
    564,083.52x = 160,857,229,031.23
  5. Step 5: Solve for x
    x = 160,857,229,031.23/564,083.52
  6. Step 6: Final answer
    x = 285,165.62

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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.