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Finding the Fourth Proportional to 353,844.24, 488,349.72 and 202,938

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Solution

The fourth proportional to 353,844.24, 488,349.72 and 202,938 is: 280,080.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,844.24 : 488,349.72 = 202,938 : x
  2. Step 2: Convert to fraction form
    353,844.24/488,349.72 = 202,938/x
  3. Step 3: Cross multiply
    353,844.24x = 488,349.72 × 202,938
  4. Step 4: Simplify right side
    353,844.24x = 99,104,715,477.36
  5. Step 5: Solve for x
    x = 99,104,715,477.36/353,844.24
  6. Step 6: Final answer
    x = 280,080.06

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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.