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Finding the Fourth Proportional to 540,969.71, 746,538.12 and 295,956.45

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Solution

The fourth proportional to 540,969.71, 746,538.12 and 295,956.45 is: 408,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,969.71 : 746,538.12 = 295,956.45 : x
  2. Step 2: Convert to fraction form
    540,969.71/746,538.12 = 295,956.45/x
  3. Step 3: Cross multiply
    540,969.71x = 746,538.12 × 295,956.45
  4. Step 4: Simplify right side
    540,969.71x = 220,942,771,784.87
  5. Step 5: Solve for x
    x = 220,942,771,784.87/540,969.71
  6. Step 6: Final answer
    x = 408,419.86

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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.