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Finding the Fourth Proportional to 298,495.30, 411,919.65 and 162,527.69

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Solution

The fourth proportional to 298,495.30, 411,919.65 and 162,527.69 is: 224,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,495.30 : 411,919.65 = 162,527.69 : x
  2. Step 2: Convert to fraction form
    298,495.30/411,919.65 = 162,527.69/x
  3. Step 3: Cross multiply
    298,495.30x = 411,919.65 × 162,527.69
  4. Step 4: Simplify right side
    298,495.30x = 66,948,349,180.11
  5. Step 5: Solve for x
    x = 66,948,349,180.11/298,495.30
  6. Step 6: Final answer
    x = 224,286.11

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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.