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Finding the Fourth Proportional to 580,207.89, 870,298.07 and 341,833.53

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Solution

The fourth proportional to 580,207.89, 870,298.07 and 341,833.53 is: 512,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,207.89 : 870,298.07 = 341,833.53 : x
  2. Step 2: Convert to fraction form
    580,207.89/870,298.07 = 341,833.53/x
  3. Step 3: Cross multiply
    580,207.89x = 870,298.07 × 341,833.53
  4. Step 4: Simplify right side
    580,207.89x = 297,497,059,711.12
  5. Step 5: Solve for x
    x = 297,497,059,711.12/580,207.89
  6. Step 6: Final answer
    x = 512,742.18

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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.