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Finding the Fourth Proportional to 1,571,808, 2,169,095.16 and 856,416

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Solution

The fourth proportional to 1,571,808, 2,169,095.16 and 856,416 is: 1,181,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,808 : 2,169,095.16 = 856,416 : x
  2. Step 2: Convert to fraction form
    1,571,808/2,169,095.16 = 856,416/x
  3. Step 3: Cross multiply
    1,571,808x = 2,169,095.16 × 856,416
  4. Step 4: Simplify right side
    1,571,808x = 1,857,647,800,546.56
  5. Step 5: Solve for x
    x = 1,857,647,800,546.56/1,571,808
  6. Step 6: Final answer
    x = 1,181,854.15

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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.