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Finding the Fourth Proportional to 577,076.60, 865,614.90 and 311,356.10

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Solution

The fourth proportional to 577,076.60, 865,614.90 and 311,356.10 is: 467,034.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,076.60 : 865,614.90 = 311,356.10 : x
  2. Step 2: Convert to fraction form
    577,076.60/865,614.90 = 311,356.10/x
  3. Step 3: Cross multiply
    577,076.60x = 865,614.90 × 311,356.10
  4. Step 4: Simplify right side
    577,076.60x = 269,514,479,365.89
  5. Step 5: Solve for x
    x = 269,514,479,365.89/577,076.60
  6. Step 6: Final answer
    x = 467,034.15

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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.