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Finding the Fourth Proportional to 384,723.84, 577,202.40 and 184,987.56

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Solution

The fourth proportional to 384,723.84, 577,202.40 and 184,987.56 is: 277,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,723.84 : 577,202.40 = 184,987.56 : x
  2. Step 2: Convert to fraction form
    384,723.84/577,202.40 = 184,987.56/x
  3. Step 3: Cross multiply
    384,723.84x = 577,202.40 × 184,987.56
  4. Step 4: Simplify right side
    384,723.84x = 106,775,263,602.14
  5. Step 5: Solve for x
    x = 106,775,263,602.14/384,723.84
  6. Step 6: Final answer
    x = 277,537.42

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1.5x scale

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.