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Finding the Fourth Proportional to 564,104.08, 846,235.32 and 164,774.16

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Solution

The fourth proportional to 564,104.08, 846,235.32 and 164,774.16 is: 247,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,104.08 : 846,235.32 = 164,774.16 : x
  2. Step 2: Convert to fraction form
    564,104.08/846,235.32 = 164,774.16/x
  3. Step 3: Cross multiply
    564,104.08x = 846,235.32 × 164,774.16
  4. Step 4: Simplify right side
    564,104.08x = 139,437,714,015.33
  5. Step 5: Solve for x
    x = 139,437,714,015.33/564,104.08
  6. Step 6: Final answer
    x = 247,184.37

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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.