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Finding the Fourth Proportional to 402,683.56, 604,028.96 and 122,200.80

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Solution

The fourth proportional to 402,683.56, 604,028.96 and 122,200.80 is: 183,302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,683.56 : 604,028.96 = 122,200.80 : x
  2. Step 2: Convert to fraction form
    402,683.56/604,028.96 = 122,200.80/x
  3. Step 3: Cross multiply
    402,683.56x = 604,028.96 × 122,200.80
  4. Step 4: Simplify right side
    402,683.56x = 73,812,822,135.17
  5. Step 5: Solve for x
    x = 73,812,822,135.17/402,683.56
  6. Step 6: Final answer
    x = 183,302.30

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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.