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Finding the Fourth Proportional to 617,069.48, 851,304.66 and 402,131.24

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Solution

The fourth proportional to 617,069.48, 851,304.66 and 402,131.24 is: 554,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,069.48 : 851,304.66 = 402,131.24 : x
  2. Step 2: Convert to fraction form
    617,069.48/851,304.66 = 402,131.24/x
  3. Step 3: Cross multiply
    617,069.48x = 851,304.66 × 402,131.24
  4. Step 4: Simplify right side
    617,069.48x = 342,336,198,543.58
  5. Step 5: Solve for x
    x = 342,336,198,543.58/617,069.48
  6. Step 6: Final answer
    x = 554,777.39

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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.