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Finding the Fourth Proportional to 1,417,568, 1,956,243.84 and 781,664

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Solution

The fourth proportional to 1,417,568, 1,956,243.84 and 781,664 is: 1,078,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,568 : 1,956,243.84 = 781,664 : x
  2. Step 2: Convert to fraction form
    1,417,568/1,956,243.84 = 781,664/x
  3. Step 3: Cross multiply
    1,417,568x = 1,956,243.84 × 781,664
  4. Step 4: Simplify right side
    1,417,568x = 1,529,125,384,949.76
  5. Step 5: Solve for x
    x = 1,529,125,384,949.76/1,417,568
  6. Step 6: Final answer
    x = 1,078,696.32

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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.