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Finding the Fourth Proportional to 384,047.40, 576,243.90 and 184,290.60

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Solution

The fourth proportional to 384,047.40, 576,243.90 and 184,290.60 is: 276,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,047.40 : 576,243.90 = 184,290.60 : x
  2. Step 2: Convert to fraction form
    384,047.40/576,243.90 = 184,290.60/x
  3. Step 3: Cross multiply
    384,047.40x = 576,243.90 × 184,290.60
  4. Step 4: Simplify right side
    384,047.40x = 106,196,334,077.34
  5. Step 5: Solve for x
    x = 106,196,334,077.34/384,047.40
  6. Step 6: Final answer
    x = 276,518.82

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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.