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Finding the Fourth Proportional to 354,244.08, 488,859.12 and 211,010.16

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Solution

The fourth proportional to 354,244.08, 488,859.12 and 211,010.16 is: 291,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,244.08 : 488,859.12 = 211,010.16 : x
  2. Step 2: Convert to fraction form
    354,244.08/488,859.12 = 211,010.16/x
  3. Step 3: Cross multiply
    354,244.08x = 488,859.12 × 211,010.16
  4. Step 4: Simplify right side
    354,244.08x = 103,154,241,128.66
  5. Step 5: Solve for x
    x = 103,154,241,128.66/354,244.08
  6. Step 6: Final answer
    x = 291,195.38

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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.