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Finding the Fourth Proportional to 298,448.71, 411,866.62 and 162,490.11

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Solution

The fourth proportional to 298,448.71, 411,866.62 and 162,490.11 is: 224,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,448.71 : 411,866.62 = 162,490.11 : x
  2. Step 2: Convert to fraction form
    298,448.71/411,866.62 = 162,490.11/x
  3. Step 3: Cross multiply
    298,448.71x = 411,866.62 × 162,490.11
  4. Step 4: Simplify right side
    298,448.71x = 66,924,252,389.13
  5. Step 5: Solve for x
    x = 66,924,252,389.13/298,448.71
  6. Step 6: Final answer
    x = 224,240.38

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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.