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Finding the Fourth Proportional to 335,065.80, 502,660.95 and 110,442

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Solution

The fourth proportional to 335,065.80, 502,660.95 and 110,442 is: 165,683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,065.80 : 502,660.95 = 110,442 : x
  2. Step 2: Convert to fraction form
    335,065.80/502,660.95 = 110,442/x
  3. Step 3: Cross multiply
    335,065.80x = 502,660.95 × 110,442
  4. Step 4: Simplify right side
    335,065.80x = 55,514,880,639.90
  5. Step 5: Solve for x
    x = 55,514,880,639.90/335,065.80
  6. Step 6: Final answer
    x = 165,683.52

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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.