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Finding the Fourth Proportional to 522,574.86, 721,160.96 and 293,182.86

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Solution

The fourth proportional to 522,574.86, 721,160.96 and 293,182.86 is: 404,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,574.86 : 721,160.96 = 293,182.86 : x
  2. Step 2: Convert to fraction form
    522,574.86/721,160.96 = 293,182.86/x
  3. Step 3: Cross multiply
    522,574.86x = 721,160.96 × 293,182.86
  4. Step 4: Simplify right side
    522,574.86x = 211,432,032,773.15
  5. Step 5: Solve for x
    x = 211,432,032,773.15/522,574.86
  6. Step 6: Final answer
    x = 404,596.64

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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.