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Finding the Fourth Proportional to 864,626, 1,296,944.76 and 273,650

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Solution

The fourth proportional to 864,626, 1,296,944.76 and 273,650 is: 410,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,626 : 1,296,944.76 = 273,650 : x
  2. Step 2: Convert to fraction form
    864,626/1,296,944.76 = 273,650/x
  3. Step 3: Cross multiply
    864,626x = 1,296,944.76 × 273,650
  4. Step 4: Simplify right side
    864,626x = 354,908,933,574
  5. Step 5: Solve for x
    x = 354,908,933,574/864,626
  6. Step 6: Final answer
    x = 410,476.82

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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.