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Finding the Fourth Proportional to 1,564,286, 2,158,714.68 and 848,894

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Solution

The fourth proportional to 1,564,286, 2,158,714.68 and 848,894 is: 1,171,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,286 : 2,158,714.68 = 848,894 : x
  2. Step 2: Convert to fraction form
    1,564,286/2,158,714.68 = 848,894/x
  3. Step 3: Cross multiply
    1,564,286x = 2,158,714.68 × 848,894
  4. Step 4: Simplify right side
    1,564,286x = 1,832,519,939,563.92
  5. Step 5: Solve for x
    x = 1,832,519,939,563.92/1,564,286
  6. Step 6: Final answer
    x = 1,171,473.72

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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.