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Finding the Fourth Proportional to 523,515.96, 785,290.14 and 144,443.25

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Solution

The fourth proportional to 523,515.96, 785,290.14 and 144,443.25 is: 216,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,515.96 : 785,290.14 = 144,443.25 : x
  2. Step 2: Convert to fraction form
    523,515.96/785,290.14 = 144,443.25/x
  3. Step 3: Cross multiply
    523,515.96x = 785,290.14 × 144,443.25
  4. Step 4: Simplify right side
    523,515.96x = 113,429,860,014.56
  5. Step 5: Solve for x
    x = 113,429,860,014.56/523,515.96
  6. Step 6: Final answer
    x = 216,669.34

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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.