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Finding the Fourth Proportional to 511,343.22, 705,677.67 and 284,990.34

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Solution

The fourth proportional to 511,343.22, 705,677.67 and 284,990.34 is: 393,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,343.22 : 705,677.67 = 284,990.34 : x
  2. Step 2: Convert to fraction form
    511,343.22/705,677.67 = 284,990.34/x
  3. Step 3: Cross multiply
    511,343.22x = 705,677.67 × 284,990.34
  4. Step 4: Simplify right side
    511,343.22x = 201,111,319,103.71
  5. Step 5: Solve for x
    x = 201,111,319,103.71/511,343.22
  6. Step 6: Final answer
    x = 393,300.06

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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.