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Finding the Fourth Proportional to 324,075.60, 486,113.40 and 205,831.80

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Solution

The fourth proportional to 324,075.60, 486,113.40 and 205,831.80 is: 308,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,075.60 : 486,113.40 = 205,831.80 : x
  2. Step 2: Convert to fraction form
    324,075.60/486,113.40 = 205,831.80/x
  3. Step 3: Cross multiply
    324,075.60x = 486,113.40 × 205,831.80
  4. Step 4: Simplify right side
    324,075.60x = 100,057,596,126.12
  5. Step 5: Solve for x
    x = 100,057,596,126.12/324,075.60
  6. Step 6: Final answer
    x = 308,747.70

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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.