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Finding the Fourth Proportional to 416,177.60, 624,266.40 and 333,233.60

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Solution

The fourth proportional to 416,177.60, 624,266.40 and 333,233.60 is: 499,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,177.60 : 624,266.40 = 333,233.60 : x
  2. Step 2: Convert to fraction form
    416,177.60/624,266.40 = 333,233.60/x
  3. Step 3: Cross multiply
    416,177.60x = 624,266.40 × 333,233.60
  4. Step 4: Simplify right side
    416,177.60x = 208,026,539,831.04
  5. Step 5: Solve for x
    x = 208,026,539,831.04/416,177.60
  6. Step 6: Final answer
    x = 499,850.40

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1.5x scale

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.