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Finding the Fourth Proportional to 398,641.23, 550,114.74 and 217,353.51

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Solution

The fourth proportional to 398,641.23, 550,114.74 and 217,353.51 is: 299,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,641.23 : 550,114.74 = 217,353.51 : x
  2. Step 2: Convert to fraction form
    398,641.23/550,114.74 = 217,353.51/x
  3. Step 3: Cross multiply
    398,641.23x = 550,114.74 × 217,353.51
  4. Step 4: Simplify right side
    398,641.23x = 119,569,369,641.74
  5. Step 5: Solve for x
    x = 119,569,369,641.74/398,641.23
  6. Step 6: Final answer
    x = 299,942.31

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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.