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Finding the Fourth Proportional to 564,288.54, 846,345.32 and 164,822.04

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Solution

The fourth proportional to 564,288.54, 846,345.32 and 164,822.04 is: 247,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,288.54 : 846,345.32 = 164,822.04 : x
  2. Step 2: Convert to fraction form
    564,288.54/846,345.32 = 164,822.04/x
  3. Step 3: Cross multiply
    564,288.54x = 846,345.32 × 164,822.04
  4. Step 4: Simplify right side
    564,288.54x = 139,496,362,186.85
  5. Step 5: Solve for x
    x = 139,496,362,186.85/564,288.54
  6. Step 6: Final answer
    x = 247,207.51

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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.