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Finding the Fourth Proportional to 522,512.08, 721,009.01 and 293,022.14

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Solution

The fourth proportional to 522,512.08, 721,009.01 and 293,022.14 is: 404,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,512.08 : 721,009.01 = 293,022.14 : x
  2. Step 2: Convert to fraction form
    522,512.08/721,009.01 = 293,022.14/x
  3. Step 3: Cross multiply
    522,512.08x = 721,009.01 × 293,022.14
  4. Step 4: Simplify right side
    522,512.08x = 211,271,600,196.99
  5. Step 5: Solve for x
    x = 211,271,600,196.99/522,512.08
  6. Step 6: Final answer
    x = 404,338.21

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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.