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Finding the Fourth Proportional to 462,092.40, 637,742.76 and 280,833.84

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Solution

The fourth proportional to 462,092.40, 637,742.76 and 280,833.84 is: 387,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,092.40 : 637,742.76 = 280,833.84 : x
  2. Step 2: Convert to fraction form
    462,092.40/637,742.76 = 280,833.84/x
  3. Step 3: Cross multiply
    462,092.40x = 637,742.76 × 280,833.84
  4. Step 4: Simplify right side
    462,092.40x = 179,099,748,223.00
  5. Step 5: Solve for x
    x = 179,099,748,223.00/462,092.40
  6. Step 6: Final answer
    x = 387,584.28

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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.