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Finding the Fourth Proportional to 511,813.76, 706,278.34 and 279,226.86

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Solution

The fourth proportional to 511,813.76, 706,278.34 and 279,226.86 is: 385,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,813.76 : 706,278.34 = 279,226.86 : x
  2. Step 2: Convert to fraction form
    511,813.76/706,278.34 = 279,226.86/x
  3. Step 3: Cross multiply
    511,813.76x = 706,278.34 × 279,226.86
  4. Step 4: Simplify right side
    511,813.76x = 197,211,883,164.21
  5. Step 5: Solve for x
    x = 197,211,883,164.21/511,813.76
  6. Step 6: Final answer
    x = 385,319.62

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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.