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Finding the Fourth Proportional to 409,498.54, 565,109.87 and 237,518.32

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Solution

The fourth proportional to 409,498.54, 565,109.87 and 237,518.32 is: 327,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,498.54 : 565,109.87 = 237,518.32 : x
  2. Step 2: Convert to fraction form
    409,498.54/565,109.87 = 237,518.32/x
  3. Step 3: Cross multiply
    409,498.54x = 565,109.87 × 237,518.32
  4. Step 4: Simplify right side
    409,498.54x = 134,223,948,944.39
  5. Step 5: Solve for x
    x = 134,223,948,944.39/409,498.54
  6. Step 6: Final answer
    x = 327,776.38

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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.