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Finding the Fourth Proportional to 305,359.40, 457,824.49 and 134,500.03

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Solution

The fourth proportional to 305,359.40, 457,824.49 and 134,500.03 is: 201,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,359.40 : 457,824.49 = 134,500.03 : x
  2. Step 2: Convert to fraction form
    305,359.40/457,824.49 = 134,500.03/x
  3. Step 3: Cross multiply
    305,359.40x = 457,824.49 × 134,500.03
  4. Step 4: Simplify right side
    305,359.40x = 61,577,406,158.92
  5. Step 5: Solve for x
    x = 61,577,406,158.92/305,359.40
  6. Step 6: Final answer
    x = 201,655.51

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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.