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Finding the Fourth Proportional to 532,194.50, 734,428.42 and 362,724.68

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Solution

The fourth proportional to 532,194.50, 734,428.42 and 362,724.68 is: 500,560.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,194.50 : 734,428.42 = 362,724.68 : x
  2. Step 2: Convert to fraction form
    532,194.50/734,428.42 = 362,724.68/x
  3. Step 3: Cross multiply
    532,194.50x = 734,428.42 × 362,724.68
  4. Step 4: Simplify right side
    532,194.50x = 266,395,313,627.41
  5. Step 5: Solve for x
    x = 266,395,313,627.41/532,194.50
  6. Step 6: Final answer
    x = 500,560.07

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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.