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Finding the Fourth Proportional to 402,671, 604,010.14 and 122,188.26

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Solution

The fourth proportional to 402,671, 604,010.14 and 122,188.26 is: 183,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,671 : 604,010.14 = 122,188.26 : x
  2. Step 2: Convert to fraction form
    402,671/604,010.14 = 122,188.26/x
  3. Step 3: Cross multiply
    402,671x = 604,010.14 × 122,188.26
  4. Step 4: Simplify right side
    402,671x = 73,802,948,028.96
  5. Step 5: Solve for x
    x = 73,802,948,028.96/402,671
  6. Step 6: Final answer
    x = 183,283.49

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