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Finding the Fourth Proportional to 399,643.80, 599,465.70 and 366,984.60

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Solution

The fourth proportional to 399,643.80, 599,465.70 and 366,984.60 is: 550,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,643.80 : 599,465.70 = 366,984.60 : x
  2. Step 2: Convert to fraction form
    399,643.80/599,465.70 = 366,984.60/x
  3. Step 3: Cross multiply
    399,643.80x = 599,465.70 × 366,984.60
  4. Step 4: Simplify right side
    399,643.80x = 219,994,680,128.22
  5. Step 5: Solve for x
    x = 219,994,680,128.22/399,643.80
  6. Step 6: Final answer
    x = 550,476.90

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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.