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Finding the Fourth Proportional to 247,182, 370,772.76 and 213,802.83

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Solution

The fourth proportional to 247,182, 370,772.76 and 213,802.83 is: 320,704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,182 : 370,772.76 = 213,802.83 : x
  2. Step 2: Convert to fraction form
    247,182/370,772.76 = 213,802.83/x
  3. Step 3: Cross multiply
    247,182x = 370,772.76 × 213,802.83
  4. Step 4: Simplify right side
    247,182x = 79,272,265,374.91
  5. Step 5: Solve for x
    x = 79,272,265,374.91/247,182
  6. Step 6: Final answer
    x = 320,704.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.