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Finding the Fourth Proportional to 304,718.10, 456,902.12 and 162,388.14

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Solution

The fourth proportional to 304,718.10, 456,902.12 and 162,388.14 is: 243,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,718.10 : 456,902.12 = 162,388.14 : x
  2. Step 2: Convert to fraction form
    304,718.10/456,902.12 = 162,388.14/x
  3. Step 3: Cross multiply
    304,718.10x = 456,902.12 × 162,388.14
  4. Step 4: Simplify right side
    304,718.10x = 74,195,485,428.86
  5. Step 5: Solve for x
    x = 74,195,485,428.86/304,718.10
  6. Step 6: Final answer
    x = 243,488.93

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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.