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Finding the Fourth Proportional to 564,268.96, 846,772.08 and 268,804

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Solution

The fourth proportional to 564,268.96, 846,772.08 and 268,804 is: 403,381.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,268.96 : 846,772.08 = 268,804 : x
  2. Step 2: Convert to fraction form
    564,268.96/846,772.08 = 268,804/x
  3. Step 3: Cross multiply
    564,268.96x = 846,772.08 × 268,804
  4. Step 4: Simplify right side
    564,268.96x = 227,615,722,192.32
  5. Step 5: Solve for x
    x = 227,615,722,192.32/564,268.96
  6. Step 6: Final answer
    x = 403,381.61

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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.