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Finding the Fourth Proportional to 580,207.64, 870,297.69 and 341,833.28

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Solution

The fourth proportional to 580,207.64, 870,297.69 and 341,833.28 is: 512,741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,207.64 : 870,297.69 = 341,833.28 : x
  2. Step 2: Convert to fraction form
    580,207.64/870,297.69 = 341,833.28/x
  3. Step 3: Cross multiply
    580,207.64x = 870,297.69 × 341,833.28
  4. Step 4: Simplify right side
    580,207.64x = 297,496,713,949.12
  5. Step 5: Solve for x
    x = 297,496,713,949.12/580,207.64
  6. Step 6: Final answer
    x = 512,741.81

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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.