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Finding the Fourth Proportional to 288,210.24, 397,713.42 and 160,893.90

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Solution

The fourth proportional to 288,210.24, 397,713.42 and 160,893.90 is: 222,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,210.24 : 397,713.42 = 160,893.90 : x
  2. Step 2: Convert to fraction form
    288,210.24/397,713.42 = 160,893.90/x
  3. Step 3: Cross multiply
    288,210.24x = 397,713.42 × 160,893.90
  4. Step 4: Simplify right side
    288,210.24x = 63,989,663,226.14
  5. Step 5: Solve for x
    x = 63,989,663,226.14/288,210.24
  6. Step 6: Final answer
    x = 222,024.25

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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.