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Finding the Fourth Proportional to 564,088.05, 846,048.96 and 185,048.82

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Solution

The fourth proportional to 564,088.05, 846,048.96 and 185,048.82 is: 277,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,088.05 : 846,048.96 = 185,048.82 : x
  2. Step 2: Convert to fraction form
    564,088.05/846,048.96 = 185,048.82/x
  3. Step 3: Cross multiply
    564,088.05x = 846,048.96 × 185,048.82
  4. Step 4: Simplify right side
    564,088.05x = 156,560,361,710.23
  5. Step 5: Solve for x
    x = 156,560,361,710.23/564,088.05
  6. Step 6: Final answer
    x = 277,545.96

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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.