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Finding the Fourth Proportional to 341,105.04, 470,854.64 and 256,467.96

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Solution

The fourth proportional to 341,105.04, 470,854.64 and 256,467.96 is: 354,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,105.04 : 470,854.64 = 256,467.96 : x
  2. Step 2: Convert to fraction form
    341,105.04/470,854.64 = 256,467.96/x
  3. Step 3: Cross multiply
    341,105.04x = 470,854.64 × 256,467.96
  4. Step 4: Simplify right side
    341,105.04x = 120,759,128,977.33
  5. Step 5: Solve for x
    x = 120,759,128,977.33/341,105.04
  6. Step 6: Final answer
    x = 354,023.29

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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.