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Finding the Fourth Proportional to 553,643.74, 764,028.32 and 298,994.90

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Solution

The fourth proportional to 553,643.74, 764,028.32 and 298,994.90 is: 412,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,643.74 : 764,028.32 = 298,994.90 : x
  2. Step 2: Convert to fraction form
    553,643.74/764,028.32 = 298,994.90/x
  3. Step 3: Cross multiply
    553,643.74x = 764,028.32 × 298,994.90
  4. Step 4: Simplify right side
    553,643.74x = 228,440,571,135.57
  5. Step 5: Solve for x
    x = 228,440,571,135.57/553,643.74
  6. Step 6: Final answer
    x = 412,612.94

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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.