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Finding the Fourth Proportional to 304,542.48, 420,427.80 and 189,856.08

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Solution

The fourth proportional to 304,542.48, 420,427.80 and 189,856.08 is: 262,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,542.48 : 420,427.80 = 189,856.08 : x
  2. Step 2: Convert to fraction form
    304,542.48/420,427.80 = 189,856.08/x
  3. Step 3: Cross multiply
    304,542.48x = 420,427.80 × 189,856.08
  4. Step 4: Simplify right side
    304,542.48x = 79,820,774,031.02
  5. Step 5: Solve for x
    x = 79,820,774,031.02/304,542.48
  6. Step 6: Final answer
    x = 262,100.62

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