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Finding the Fourth Proportional to 577,113.59, 865,713.87 and 172,273.82

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Solution

The fourth proportional to 577,113.59, 865,713.87 and 172,273.82 is: 258,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,113.59 : 865,713.87 = 172,273.82 : x
  2. Step 2: Convert to fraction form
    577,113.59/865,713.87 = 172,273.82/x
  3. Step 3: Cross multiply
    577,113.59x = 865,713.87 × 172,273.82
  4. Step 4: Simplify right side
    577,113.59x = 149,139,831,083.31
  5. Step 5: Solve for x
    x = 149,139,831,083.31/577,113.59
  6. Step 6: Final answer
    x = 258,423.71

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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.