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Finding the Fourth Proportional to 516,700.48, 713,050.44 and 284,131.48

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Solution

The fourth proportional to 516,700.48, 713,050.44 and 284,131.48 is: 392,103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,700.48 : 713,050.44 = 284,131.48 : x
  2. Step 2: Convert to fraction form
    516,700.48/713,050.44 = 284,131.48/x
  3. Step 3: Cross multiply
    516,700.48x = 713,050.44 × 284,131.48
  4. Step 4: Simplify right side
    516,700.48x = 202,600,076,831.85
  5. Step 5: Solve for x
    x = 202,600,076,831.85/516,700.48
  6. Step 6: Final answer
    x = 392,103.52

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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.