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Finding the Fourth Proportional to 577,825.60, 866,582.88 and 203,800

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Solution

The fourth proportional to 577,825.60, 866,582.88 and 203,800 is: 305,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,825.60 : 866,582.88 = 203,800 : x
  2. Step 2: Convert to fraction form
    577,825.60/866,582.88 = 203,800/x
  3. Step 3: Cross multiply
    577,825.60x = 866,582.88 × 203,800
  4. Step 4: Simplify right side
    577,825.60x = 176,609,590,944
  5. Step 5: Solve for x
    x = 176,609,590,944/577,825.60
  6. Step 6: Final answer
    x = 305,645.15

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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.