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Finding the Fourth Proportional to 509,693.81, 762,877.16 and 374,722.19

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Solution

The fourth proportional to 509,693.81, 762,877.16 and 374,722.19 is: 560,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,693.81 : 762,877.16 = 374,722.19 : x
  2. Step 2: Convert to fraction form
    509,693.81/762,877.16 = 374,722.19/x
  3. Step 3: Cross multiply
    509,693.81x = 762,877.16 × 374,722.19
  4. Step 4: Simplify right side
    509,693.81x = 285,866,994,408.18
  5. Step 5: Solve for x
    x = 285,866,994,408.18/509,693.81
  6. Step 6: Final answer
    x = 560,860.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.