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Finding the Fourth Proportional to 416,007.20, 624,010.80 and 341,357.60

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Solution

The fourth proportional to 416,007.20, 624,010.80 and 341,357.60 is: 512,036.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,007.20 : 624,010.80 = 341,357.60 : x
  2. Step 2: Convert to fraction form
    416,007.20/624,010.80 = 341,357.60/x
  3. Step 3: Cross multiply
    416,007.20x = 624,010.80 × 341,357.60
  4. Step 4: Simplify right side
    416,007.20x = 213,010,829,062.08
  5. Step 5: Solve for x
    x = 213,010,829,062.08/416,007.20
  6. Step 6: Final answer
    x = 512,036.40

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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.