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Finding the Fourth Proportional to 273,138.80, 410,015.40 and 211,084.40

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Solution

The fourth proportional to 273,138.80, 410,015.40 and 211,084.40 is: 316,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,138.80 : 410,015.40 = 211,084.40 : x
  2. Step 2: Convert to fraction form
    273,138.80/410,015.40 = 211,084.40/x
  3. Step 3: Cross multiply
    273,138.80x = 410,015.40 × 211,084.40
  4. Step 4: Simplify right side
    273,138.80x = 86,547,854,699.76
  5. Step 5: Solve for x
    x = 86,547,854,699.76/273,138.80
  6. Step 6: Final answer
    x = 316,864.01

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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.