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Finding the Fourth Proportional to 399,643.30, 599,464.95 and 366,984.10

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Solution

The fourth proportional to 399,643.30, 599,464.95 and 366,984.10 is: 550,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,643.30 : 599,464.95 = 366,984.10 : x
  2. Step 2: Convert to fraction form
    399,643.30/599,464.95 = 366,984.10/x
  3. Step 3: Cross multiply
    399,643.30x = 599,464.95 × 366,984.10
  4. Step 4: Simplify right side
    399,643.30x = 219,994,105,157.30
  5. Step 5: Solve for x
    x = 219,994,105,157.30/399,643.30
  6. Step 6: Final answer
    x = 550,476.15

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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.