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Finding the Fourth Proportional to 522,232.96, 783,430.42 and 222,714.40

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Solution

The fourth proportional to 522,232.96, 783,430.42 and 222,714.40 is: 334,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,232.96 : 783,430.42 = 222,714.40 : x
  2. Step 2: Convert to fraction form
    522,232.96/783,430.42 = 222,714.40/x
  3. Step 3: Cross multiply
    522,232.96x = 783,430.42 × 222,714.40
  4. Step 4: Simplify right side
    522,232.96x = 174,481,235,932.05
  5. Step 5: Solve for x
    x = 174,481,235,932.05/522,232.96
  6. Step 6: Final answer
    x = 334,106.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.