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Finding the Fourth Proportional to 505,431.25, 696,926.50 and 413,262.97

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Solution

The fourth proportional to 505,431.25, 696,926.50 and 413,262.97 is: 569,837.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,431.25 : 696,926.50 = 413,262.97 : x
  2. Step 2: Convert to fraction form
    505,431.25/696,926.50 = 413,262.97/x
  3. Step 3: Cross multiply
    505,431.25x = 696,926.50 × 413,262.97
  4. Step 4: Simplify right side
    505,431.25x = 288,013,915,261.71
  5. Step 5: Solve for x
    x = 288,013,915,261.71/505,431.25
  6. Step 6: Final answer
    x = 569,837.97

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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.