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Finding the Fourth Proportional to 300,545.17, 414,746.86 and 164,576.62

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Solution

The fourth proportional to 300,545.17, 414,746.86 and 164,576.62 is: 227,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,545.17 : 414,746.86 = 164,576.62 : x
  2. Step 2: Convert to fraction form
    300,545.17/414,746.86 = 164,576.62/x
  3. Step 3: Cross multiply
    300,545.17x = 414,746.86 × 164,576.62
  4. Step 4: Simplify right side
    300,545.17x = 68,257,636,374.41
  5. Step 5: Solve for x
    x = 68,257,636,374.41/300,545.17
  6. Step 6: Final answer
    x = 227,112.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.