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Finding the Fourth Proportional to 384,057.80, 575,654.70 and 184,473.80

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Solution

The fourth proportional to 384,057.80, 575,654.70 and 184,473.80 is: 276,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,057.80 : 575,654.70 = 184,473.80 : x
  2. Step 2: Convert to fraction form
    384,057.80/575,654.70 = 184,473.80/x
  3. Step 3: Cross multiply
    384,057.80x = 575,654.70 × 184,473.80
  4. Step 4: Simplify right side
    384,057.80x = 106,193,209,996.86
  5. Step 5: Solve for x
    x = 106,193,209,996.86/384,057.80
  6. Step 6: Final answer
    x = 276,503.20

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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.