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Finding the Fourth Proportional to 300,038.29, 414,046.59 and 164,070.70

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Solution

The fourth proportional to 300,038.29, 414,046.59 and 164,070.70 is: 226,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,038.29 : 414,046.59 = 164,070.70 : x
  2. Step 2: Convert to fraction form
    300,038.29/414,046.59 = 164,070.70/x
  3. Step 3: Cross multiply
    300,038.29x = 414,046.59 × 164,070.70
  4. Step 4: Simplify right side
    300,038.29x = 67,932,913,853.91
  5. Step 5: Solve for x
    x = 67,932,913,853.91/300,038.29
  6. Step 6: Final answer
    x = 226,414.15

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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.