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Finding the Fourth Proportional to 600,765.74, 829,458.12 and 355,829.24

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Solution

The fourth proportional to 600,765.74, 829,458.12 and 355,829.24 is: 491,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,765.74 : 829,458.12 = 355,829.24 : x
  2. Step 2: Convert to fraction form
    600,765.74/829,458.12 = 355,829.24/x
  3. Step 3: Cross multiply
    600,765.74x = 829,458.12 × 355,829.24
  4. Step 4: Simplify right side
    600,765.74x = 295,145,452,451.43
  5. Step 5: Solve for x
    x = 295,145,452,451.43/600,765.74
  6. Step 6: Final answer
    x = 491,282.10

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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.