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Finding the Fourth Proportional to 240,828.16, 361,464 and 122,584

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Solution

The fourth proportional to 240,828.16, 361,464 and 122,584 is: 183,988.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,828.16 : 361,464 = 122,584 : x
  2. Step 2: Convert to fraction form
    240,828.16/361,464 = 122,584/x
  3. Step 3: Cross multiply
    240,828.16x = 361,464 × 122,584
  4. Step 4: Simplify right side
    240,828.16x = 44,309,702,976
  5. Step 5: Solve for x
    x = 44,309,702,976/240,828.16
  6. Step 6: Final answer
    x = 183,988.88

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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.