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Finding the Fourth Proportional to 305,659.95, 457,893.48 and 200,159.07

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Solution

The fourth proportional to 305,659.95, 457,893.48 and 200,159.07 is: 299,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,659.95 : 457,893.48 = 200,159.07 : x
  2. Step 2: Convert to fraction form
    305,659.95/457,893.48 = 200,159.07/x
  3. Step 3: Cross multiply
    305,659.95x = 457,893.48 × 200,159.07
  4. Step 4: Simplify right side
    305,659.95x = 91,651,533,115.86
  5. Step 5: Solve for x
    x = 91,651,533,115.86/305,659.95
  6. Step 6: Final answer
    x = 299,848.03

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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.