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Finding the Fourth Proportional to 289,444.38, 399,451.66 and 162,127.76

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Solution

The fourth proportional to 289,444.38, 399,451.66 and 162,127.76 is: 223,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,444.38 : 399,451.66 = 162,127.76 : x
  2. Step 2: Convert to fraction form
    289,444.38/399,451.66 = 162,127.76/x
  3. Step 3: Cross multiply
    289,444.38x = 399,451.66 × 162,127.76
  4. Step 4: Simplify right side
    289,444.38x = 64,762,202,864.08
  5. Step 5: Solve for x
    x = 64,762,202,864.08/289,444.38
  6. Step 6: Final answer
    x = 223,746.62

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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.