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Finding the Fourth Proportional to 465,774.40, 698,661.60 and 414,164.80

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Solution

The fourth proportional to 465,774.40, 698,661.60 and 414,164.80 is: 621,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,774.40 : 698,661.60 = 414,164.80 : x
  2. Step 2: Convert to fraction form
    465,774.40/698,661.60 = 414,164.80/x
  3. Step 3: Cross multiply
    465,774.40x = 698,661.60 × 414,164.80
  4. Step 4: Simplify right side
    465,774.40x = 289,361,041,831.68
  5. Step 5: Solve for x
    x = 289,361,041,831.68/465,774.40
  6. Step 6: Final answer
    x = 621,247.20

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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.