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Finding the Fourth Proportional to 1,572,192, 2,169,627.12 and 856,800

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Solution

The fourth proportional to 1,572,192, 2,169,627.12 and 856,800 is: 1,182,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572,192 : 2,169,627.12 = 856,800 : x
  2. Step 2: Convert to fraction form
    1,572,192/2,169,627.12 = 856,800/x
  3. Step 3: Cross multiply
    1,572,192x = 2,169,627.12 × 856,800
  4. Step 4: Simplify right side
    1,572,192x = 1,858,936,516,416
  5. Step 5: Solve for x
    x = 1,858,936,516,416/1,572,192
  6. Step 6: Final answer
    x = 1,182,385.18

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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.