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Finding the Fourth Proportional to 503,803.63, 695,274.75 and 286,027.57

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Solution

The fourth proportional to 503,803.63, 695,274.75 and 286,027.57 is: 394,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,803.63 : 695,274.75 = 286,027.57 : x
  2. Step 2: Convert to fraction form
    503,803.63/695,274.75 = 286,027.57/x
  3. Step 3: Cross multiply
    503,803.63x = 695,274.75 × 286,027.57
  4. Step 4: Simplify right side
    503,803.63x = 198,867,747,224.86
  5. Step 5: Solve for x
    x = 198,867,747,224.86/503,803.63
  6. Step 6: Final answer
    x = 394,732.66

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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.