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Finding the Fourth Proportional to 407,943.40, 611,677.50 and 158,333.80

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Solution

The fourth proportional to 407,943.40, 611,677.50 and 158,333.80 is: 237,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,943.40 : 611,677.50 = 158,333.80 : x
  2. Step 2: Convert to fraction form
    407,943.40/611,677.50 = 158,333.80/x
  3. Step 3: Cross multiply
    407,943.40x = 611,677.50 × 158,333.80
  4. Step 4: Simplify right side
    407,943.40x = 96,849,222,949.50
  5. Step 5: Solve for x
    x = 96,849,222,949.50/407,943.40
  6. Step 6: Final answer
    x = 237,408.48

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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.