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Finding the Fourth Proportional to 416,311.04, 574,519.74 and 255,254.90

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Solution

The fourth proportional to 416,311.04, 574,519.74 and 255,254.90 is: 352,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,311.04 : 574,519.74 = 255,254.90 : x
  2. Step 2: Convert to fraction form
    416,311.04/574,519.74 = 255,254.90/x
  3. Step 3: Cross multiply
    416,311.04x = 574,519.74 × 255,254.90
  4. Step 4: Simplify right side
    416,311.04x = 146,648,974,951.92
  5. Step 5: Solve for x
    x = 146,648,974,951.92/416,311.04
  6. Step 6: Final answer
    x = 352,258.19

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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.