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Finding the Fourth Proportional to 362,803.68, 544,261.86 and 185,214.60

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Solution

The fourth proportional to 362,803.68, 544,261.86 and 185,214.60 is: 277,850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,803.68 : 544,261.86 = 185,214.60 : x
  2. Step 2: Convert to fraction form
    362,803.68/544,261.86 = 185,214.60/x
  3. Step 3: Cross multiply
    362,803.68x = 544,261.86 × 185,214.60
  4. Step 4: Simplify right side
    362,803.68x = 100,805,242,695.16
  5. Step 5: Solve for x
    x = 100,805,242,695.16/362,803.68
  6. Step 6: Final answer
    x = 277,850.66

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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.