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Finding the Fourth Proportional to 290,686.50, 401,098.80 and 161,621.40

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Solution

The fourth proportional to 290,686.50, 401,098.80 and 161,621.40 is: 223,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,686.50 : 401,098.80 = 161,621.40 : x
  2. Step 2: Convert to fraction form
    290,686.50/401,098.80 = 161,621.40/x
  3. Step 3: Cross multiply
    290,686.50x = 401,098.80 × 161,621.40
  4. Step 4: Simplify right side
    290,686.50x = 64,826,149,594.32
  5. Step 5: Solve for x
    x = 64,826,149,594.32/290,686.50
  6. Step 6: Final answer
    x = 223,010.53

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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.