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Finding the Fourth Proportional to 304,108.44, 419,657.40 and 176,774

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Solution

The fourth proportional to 304,108.44, 419,657.40 and 176,774 is: 243,941.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,108.44 : 419,657.40 = 176,774 : x
  2. Step 2: Convert to fraction form
    304,108.44/419,657.40 = 176,774/x
  3. Step 3: Cross multiply
    304,108.44x = 419,657.40 × 176,774
  4. Step 4: Simplify right side
    304,108.44x = 74,184,517,227.60
  5. Step 5: Solve for x
    x = 74,184,517,227.60/304,108.44
  6. Step 6: Final answer
    x = 243,941.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.