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Finding the Fourth Proportional to 413,387.69, 619,500.02 and 328,772.32

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Solution

The fourth proportional to 413,387.69, 619,500.02 and 328,772.32 is: 492,695.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,387.69 : 619,500.02 = 328,772.32 : x
  2. Step 2: Convert to fraction form
    413,387.69/619,500.02 = 328,772.32/x
  3. Step 3: Cross multiply
    413,387.69x = 619,500.02 × 328,772.32
  4. Step 4: Simplify right side
    413,387.69x = 203,674,457,993.52
  5. Step 5: Solve for x
    x = 203,674,457,993.52/413,387.69
  6. Step 6: Final answer
    x = 492,695.99

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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.