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Finding the Fourth Proportional to 511,337.21, 705,647.50 and 281,889.24

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Solution

The fourth proportional to 511,337.21, 705,647.50 and 281,889.24 is: 389,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,337.21 : 705,647.50 = 281,889.24 : x
  2. Step 2: Convert to fraction form
    511,337.21/705,647.50 = 281,889.24/x
  3. Step 3: Cross multiply
    511,337.21x = 705,647.50 × 281,889.24
  4. Step 4: Simplify right side
    511,337.21x = 198,914,437,482.90
  5. Step 5: Solve for x
    x = 198,914,437,482.90/511,337.21
  6. Step 6: Final answer
    x = 389,008.34

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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.