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Finding the Fourth Proportional to 524,139.96, 786,618.18 and 365,334.60

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Solution

The fourth proportional to 524,139.96, 786,618.18 and 365,334.60 is: 548,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,139.96 : 786,618.18 = 365,334.60 : x
  2. Step 2: Convert to fraction form
    524,139.96/786,618.18 = 365,334.60/x
  3. Step 3: Cross multiply
    524,139.96x = 786,618.18 × 365,334.60
  4. Step 4: Simplify right side
    524,139.96x = 287,378,838,143.03
  5. Step 5: Solve for x
    x = 287,378,838,143.03/524,139.96
  6. Step 6: Final answer
    x = 548,286.45

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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.