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Finding the Fourth Proportional to 409,458.24, 565,054.62 and 237,478.14

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Solution

The fourth proportional to 409,458.24, 565,054.62 and 237,478.14 is: 327,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,458.24 : 565,054.62 = 237,478.14 : x
  2. Step 2: Convert to fraction form
    409,458.24/565,054.62 = 237,478.14/x
  3. Step 3: Cross multiply
    409,458.24x = 565,054.62 × 237,478.14
  4. Step 4: Simplify right side
    409,458.24x = 134,188,120,156.01
  5. Step 5: Solve for x
    x = 134,188,120,156.01/409,458.24
  6. Step 6: Final answer
    x = 327,721.14

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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.