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Finding the Fourth Proportional to 540,059.76, 810,204.45 and 184,978.44

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Solution

The fourth proportional to 540,059.76, 810,204.45 and 184,978.44 is: 277,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,059.76 : 810,204.45 = 184,978.44 : x
  2. Step 2: Convert to fraction form
    540,059.76/810,204.45 = 184,978.44/x
  3. Step 3: Cross multiply
    540,059.76x = 810,204.45 × 184,978.44
  4. Step 4: Simplify right side
    540,059.76x = 149,870,355,242.06
  5. Step 5: Solve for x
    x = 149,870,355,242.06/540,059.76
  6. Step 6: Final answer
    x = 277,506.98

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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.