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Finding the Fourth Proportional to 503,012.42, 694,238.02 and 296,314.19

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Solution

The fourth proportional to 503,012.42, 694,238.02 and 296,314.19 is: 408,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,012.42 : 694,238.02 = 296,314.19 : x
  2. Step 2: Convert to fraction form
    503,012.42/694,238.02 = 296,314.19/x
  3. Step 3: Cross multiply
    503,012.42x = 694,238.02 × 296,314.19
  4. Step 4: Simplify right side
    503,012.42x = 205,712,576,563.50
  5. Step 5: Solve for x
    x = 205,712,576,563.50/503,012.42
  6. Step 6: Final answer
    x = 408,961.23

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Double scale
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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.