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Finding the Fourth Proportional to 300,465.41, 414,647.17 and 164,497.10

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Solution

The fourth proportional to 300,465.41, 414,647.17 and 164,497.10 is: 227,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,465.41 : 414,647.17 = 164,497.10 : x
  2. Step 2: Convert to fraction form
    300,465.41/414,647.17 = 164,497.10/x
  3. Step 3: Cross multiply
    300,465.41x = 414,647.17 × 164,497.10
  4. Step 4: Simplify right side
    300,465.41x = 68,208,254,503.73
  5. Step 5: Solve for x
    x = 68,208,254,503.73/300,465.41
  6. Step 6: Final answer
    x = 227,008.68

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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.