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Finding the Fourth Proportional to 343,515.96, 515,024.82 and 230,916.87

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Solution

The fourth proportional to 343,515.96, 515,024.82 and 230,916.87 is: 346,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,515.96 : 515,024.82 = 230,916.87 : x
  2. Step 2: Convert to fraction form
    343,515.96/515,024.82 = 230,916.87/x
  3. Step 3: Cross multiply
    343,515.96x = 515,024.82 × 230,916.87
  4. Step 4: Simplify right side
    343,515.96x = 118,927,919,406.71
  5. Step 5: Solve for x
    x = 118,927,919,406.71/343,515.96
  6. Step 6: Final answer
    x = 346,207.84

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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.