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Finding the Fourth Proportional to 289,731.79, 399,828.61 and 162,407.38

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Solution

The fourth proportional to 289,731.79, 399,828.61 and 162,407.38 is: 224,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,731.79 : 399,828.61 = 162,407.38 : x
  2. Step 2: Convert to fraction form
    289,731.79/399,828.61 = 162,407.38/x
  3. Step 3: Cross multiply
    289,731.79x = 399,828.61 × 162,407.38
  4. Step 4: Simplify right side
    289,731.79x = 64,935,116,038.72
  5. Step 5: Solve for x
    x = 64,935,116,038.72/289,731.79
  6. Step 6: Final answer
    x = 224,121.48

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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.