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Finding the Fourth Proportional to 522,492.30, 721,029.96 and 293,050.02

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Solution

The fourth proportional to 522,492.30, 721,029.96 and 293,050.02 is: 404,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,492.30 : 721,029.96 = 293,050.02 : x
  2. Step 2: Convert to fraction form
    522,492.30/721,029.96 = 293,050.02/x
  3. Step 3: Cross multiply
    522,492.30x = 721,029.96 × 293,050.02
  4. Step 4: Simplify right side
    522,492.30x = 211,297,844,198.60
  5. Step 5: Solve for x
    x = 211,297,844,198.60/522,492.30
  6. Step 6: Final answer
    x = 404,403.75

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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.