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Finding the Fourth Proportional to 311,094.80, 466,368.60 and 184,422.80

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Solution

The fourth proportional to 311,094.80, 466,368.60 and 184,422.80 is: 276,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,094.80 : 466,368.60 = 184,422.80 : x
  2. Step 2: Convert to fraction form
    311,094.80/466,368.60 = 184,422.80/x
  3. Step 3: Cross multiply
    311,094.80x = 466,368.60 × 184,422.80
  4. Step 4: Simplify right side
    311,094.80x = 86,009,003,044.08
  5. Step 5: Solve for x
    x = 86,009,003,044.08/311,094.80
  6. Step 6: Final answer
    x = 276,472.00

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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.