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Finding the Fourth Proportional to 533,145.90, 798,552.45 and 322,416.30

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Solution

The fourth proportional to 533,145.90, 798,552.45 and 322,416.30 is: 482,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,145.90 : 798,552.45 = 322,416.30 : x
  2. Step 2: Convert to fraction form
    533,145.90/798,552.45 = 322,416.30/x
  3. Step 3: Cross multiply
    533,145.90x = 798,552.45 × 322,416.30
  4. Step 4: Simplify right side
    533,145.90x = 257,466,326,284.94
  5. Step 5: Solve for x
    x = 257,466,326,284.94/533,145.90
  6. Step 6: Final answer
    x = 482,919.08

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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.