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Finding the Fourth Proportional to 512,056.14, 704,741.51 and 375,874.39

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Solution

The fourth proportional to 512,056.14, 704,741.51 and 375,874.39 is: 517,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,056.14 : 704,741.51 = 375,874.39 : x
  2. Step 2: Convert to fraction form
    512,056.14/704,741.51 = 375,874.39/x
  3. Step 3: Cross multiply
    512,056.14x = 704,741.51 × 375,874.39
  4. Step 4: Simplify right side
    512,056.14x = 264,894,285,178.93
  5. Step 5: Solve for x
    x = 264,894,285,178.93/512,056.14
  6. Step 6: Final answer
    x = 517,314.93

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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.