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Finding the Fourth Proportional to 356,385.24, 491,814.72 and 205,482.24

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Solution

The fourth proportional to 356,385.24, 491,814.72 and 205,482.24 is: 283,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,385.24 : 491,814.72 = 205,482.24 : x
  2. Step 2: Convert to fraction form
    356,385.24/491,814.72 = 205,482.24/x
  3. Step 3: Cross multiply
    356,385.24x = 491,814.72 × 205,482.24
  4. Step 4: Simplify right side
    356,385.24x = 101,059,190,330.57
  5. Step 5: Solve for x
    x = 101,059,190,330.57/356,385.24
  6. Step 6: Final answer
    x = 283,567.27

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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.