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Finding the Fourth Proportional to 524,007.80, 784,845.30 and 454,023.80

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Solution

The fourth proportional to 524,007.80, 784,845.30 and 454,023.80 is: 680,025.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,007.80 : 784,845.30 = 454,023.80 : x
  2. Step 2: Convert to fraction form
    524,007.80/784,845.30 = 454,023.80/x
  3. Step 3: Cross multiply
    524,007.80x = 784,845.30 × 454,023.80
  4. Step 4: Simplify right side
    524,007.80x = 356,338,445,518.14
  5. Step 5: Solve for x
    x = 356,338,445,518.14/524,007.80
  6. Step 6: Final answer
    x = 680,025.08

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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.