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Finding the Fourth Proportional to 577,094.61, 865,369.47 and 337,277.31

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Solution

The fourth proportional to 577,094.61, 865,369.47 and 337,277.31 is: 505,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,094.61 : 865,369.47 = 337,277.31 : x
  2. Step 2: Convert to fraction form
    577,094.61/865,369.47 = 337,277.31/x
  3. Step 3: Cross multiply
    577,094.61x = 865,369.47 × 337,277.31
  4. Step 4: Simplify right side
    577,094.61x = 291,869,486,997.73
  5. Step 5: Solve for x
    x = 291,869,486,997.73/577,094.61
  6. Step 6: Final answer
    x = 505,756.74

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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.