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Finding the Fourth Proportional to 460,831.80, 691,685.10 and 283,684.80

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Solution

The fourth proportional to 460,831.80, 691,685.10 and 283,684.80 is: 425,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,831.80 : 691,685.10 = 283,684.80 : x
  2. Step 2: Convert to fraction form
    460,831.80/691,685.10 = 283,684.80/x
  3. Step 3: Cross multiply
    460,831.80x = 691,685.10 × 283,684.80
  4. Step 4: Simplify right side
    460,831.80x = 196,220,549,256.48
  5. Step 5: Solve for x
    x = 196,220,549,256.48/460,831.80
  6. Step 6: Final answer
    x = 425,796.46

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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.