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Finding the Fourth Proportional to 606,056.14, 835,758.24 and 514,425.64

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Solution

The fourth proportional to 606,056.14, 835,758.24 and 514,425.64 is: 709,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,056.14 : 835,758.24 = 514,425.64 : x
  2. Step 2: Convert to fraction form
    606,056.14/835,758.24 = 514,425.64/x
  3. Step 3: Cross multiply
    606,056.14x = 835,758.24 × 514,425.64
  4. Step 4: Simplify right side
    606,056.14x = 429,935,467,497.27
  5. Step 5: Solve for x
    x = 429,935,467,497.27/606,056.14
  6. Step 6: Final answer
    x = 709,398.75

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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.