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Finding the Fourth Proportional to 519,604, 717,054 and 293,244.64

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Solution

The fourth proportional to 519,604, 717,054 and 293,244.64 is: 404,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,604 : 717,054 = 293,244.64 : x
  2. Step 2: Convert to fraction form
    519,604/717,054 = 293,244.64/x
  3. Step 3: Cross multiply
    519,604x = 717,054 × 293,244.64
  4. Step 4: Simplify right side
    519,604x = 210,272,242,090.56
  5. Step 5: Solve for x
    x = 210,272,242,090.56/519,604
  6. Step 6: Final answer
    x = 404,677.87

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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.