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Finding the Fourth Proportional to 393,563.80, 590,345.70 and 314,831.80

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Solution

The fourth proportional to 393,563.80, 590,345.70 and 314,831.80 is: 472,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,563.80 : 590,345.70 = 314,831.80 : x
  2. Step 2: Convert to fraction form
    393,563.80/590,345.70 = 314,831.80/x
  3. Step 3: Cross multiply
    393,563.80x = 590,345.70 × 314,831.80
  4. Step 4: Simplify right side
    393,563.80x = 185,859,599,353.26
  5. Step 5: Solve for x
    x = 185,859,599,353.26/393,563.80
  6. Step 6: Final answer
    x = 472,247.70

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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.