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Finding the Fourth Proportional to 402,683.54, 604,028.94 and 122,200.79

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Solution

The fourth proportional to 402,683.54, 604,028.94 and 122,200.79 is: 183,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,683.54 : 604,028.94 = 122,200.79 : x
  2. Step 2: Convert to fraction form
    402,683.54/604,028.94 = 122,200.79/x
  3. Step 3: Cross multiply
    402,683.54x = 604,028.94 × 122,200.79
  4. Step 4: Simplify right side
    402,683.54x = 73,812,810,630.72
  5. Step 5: Solve for x
    x = 73,812,810,630.72/402,683.54
  6. Step 6: Final answer
    x = 183,302.28

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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.