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Finding the Fourth Proportional to 503,066.49, 694,368.24 and 296,515.29

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Solution

The fourth proportional to 503,066.49, 694,368.24 and 296,515.29 is: 409,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,066.49 : 694,368.24 = 296,515.29 : x
  2. Step 2: Convert to fraction form
    503,066.49/694,368.24 = 296,515.29/x
  3. Step 3: Cross multiply
    503,066.49x = 694,368.24 × 296,515.29
  4. Step 4: Simplify right side
    503,066.49x = 205,890,800,050.39
  5. Step 5: Solve for x
    x = 205,890,800,050.39/503,066.49
  6. Step 6: Final answer
    x = 409,271.55

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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.