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Finding the Fourth Proportional to 400,541.76, 600,804 and 184,373.28

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Solution

The fourth proportional to 400,541.76, 600,804 and 184,373.28 is: 276,555.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,541.76 : 600,804 = 184,373.28 : x
  2. Step 2: Convert to fraction form
    400,541.76/600,804 = 184,373.28/x
  3. Step 3: Cross multiply
    400,541.76x = 600,804 × 184,373.28
  4. Step 4: Simplify right side
    400,541.76x = 110,772,204,117.12
  5. Step 5: Solve for x
    x = 110,772,204,117.12/400,541.76
  6. Step 6: Final answer
    x = 276,555.94

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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.