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Finding the Fourth Proportional to 304,421.44, 456,909.18 and 162,387.14

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Solution

The fourth proportional to 304,421.44, 456,909.18 and 162,387.14 is: 243,728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,421.44 : 456,909.18 = 162,387.14 : x
  2. Step 2: Convert to fraction form
    304,421.44/456,909.18 = 162,387.14/x
  3. Step 3: Cross multiply
    304,421.44x = 456,909.18 × 162,387.14
  4. Step 4: Simplify right side
    304,421.44x = 74,196,174,979.95
  5. Step 5: Solve for x
    x = 74,196,174,979.95/304,421.44
  6. Step 6: Final answer
    x = 243,728.48

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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.