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Finding the Fourth Proportional to 294,998.16, 442,496.70 and 73,382.16

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Solution

The fourth proportional to 294,998.16, 442,496.70 and 73,382.16 is: 110,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,998.16 : 442,496.70 = 73,382.16 : x
  2. Step 2: Convert to fraction form
    294,998.16/442,496.70 = 73,382.16/x
  3. Step 3: Cross multiply
    294,998.16x = 442,496.70 × 73,382.16
  4. Step 4: Simplify right side
    294,998.16x = 32,471,363,638.87
  5. Step 5: Solve for x
    x = 32,471,363,638.87/294,998.16
  6. Step 6: Final answer
    x = 110,073.11

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1.5x scale

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.