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Finding the Fourth Proportional to 500,401.89, 690,527.19 and 293,642.55

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Solution

The fourth proportional to 500,401.89, 690,527.19 and 293,642.55 is: 405,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,401.89 : 690,527.19 = 293,642.55 : x
  2. Step 2: Convert to fraction form
    500,401.89/690,527.19 = 293,642.55/x
  3. Step 3: Cross multiply
    500,401.89x = 690,527.19 × 293,642.55
  4. Step 4: Simplify right side
    500,401.89x = 202,768,164,915.93
  5. Step 5: Solve for x
    x = 202,768,164,915.93/500,401.89
  6. Step 6: Final answer
    x = 405,210.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.