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Finding the Fourth Proportional to 377,235, 520,587.77 and 205,154.60

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Solution

The fourth proportional to 377,235, 520,587.77 and 205,154.60 is: 283,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,235 : 520,587.77 = 205,154.60 : x
  2. Step 2: Convert to fraction form
    377,235/520,587.77 = 205,154.60/x
  3. Step 3: Cross multiply
    377,235x = 520,587.77 × 205,154.60
  4. Step 4: Simplify right side
    377,235x = 106,800,972,090.53
  5. Step 5: Solve for x
    x = 106,800,972,090.53/377,235
  6. Step 6: Final answer
    x = 283,115.23

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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.