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Finding the Fourth Proportional to 340,637.54, 470,057.30 and 204,590.64

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Solution

The fourth proportional to 340,637.54, 470,057.30 and 204,590.64 is: 282,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,637.54 : 470,057.30 = 204,590.64 : x
  2. Step 2: Convert to fraction form
    340,637.54/470,057.30 = 204,590.64/x
  3. Step 3: Cross multiply
    340,637.54x = 470,057.30 × 204,590.64
  4. Step 4: Simplify right side
    340,637.54x = 96,169,322,820.72
  5. Step 5: Solve for x
    x = 96,169,322,820.72/340,637.54
  6. Step 6: Final answer
    x = 282,321.57

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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.