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Finding the Fourth Proportional to 304,285.76, 456,691.08 and 117,428.48

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Solution

The fourth proportional to 304,285.76, 456,691.08 and 117,428.48 is: 176,244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,285.76 : 456,691.08 = 117,428.48 : x
  2. Step 2: Convert to fraction form
    304,285.76/456,691.08 = 117,428.48/x
  3. Step 3: Cross multiply
    304,285.76x = 456,691.08 × 117,428.48
  4. Step 4: Simplify right side
    304,285.76x = 53,628,539,353.96
  5. Step 5: Solve for x
    x = 53,628,539,353.96/304,285.76
  6. Step 6: Final answer
    x = 176,244.00

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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.