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Finding the Fourth Proportional to 722,374, 996,873.62 and 416,448.92

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Solution

The fourth proportional to 722,374, 996,873.62 and 416,448.92 is: 574,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,374 : 996,873.62 = 416,448.92 : x
  2. Step 2: Convert to fraction form
    722,374/996,873.62 = 416,448.92/x
  3. Step 3: Cross multiply
    722,374x = 996,873.62 × 416,448.92
  4. Step 4: Simplify right side
    722,374x = 415,146,942,425.49
  5. Step 5: Solve for x
    x = 415,146,942,425.49/722,374
  6. Step 6: Final answer
    x = 574,698.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.