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Finding the Fourth Proportional to 514,712.15, 771,756.57 and 230,349.75

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Solution

The fourth proportional to 514,712.15, 771,756.57 and 230,349.75 is: 345,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,712.15 : 771,756.57 = 230,349.75 : x
  2. Step 2: Convert to fraction form
    514,712.15/771,756.57 = 230,349.75/x
  3. Step 3: Cross multiply
    514,712.15x = 771,756.57 × 230,349.75
  4. Step 4: Simplify right side
    514,712.15x = 177,773,932,960.36
  5. Step 5: Solve for x
    x = 177,773,932,960.36/514,712.15
  6. Step 6: Final answer
    x = 345,385.15

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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.