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Finding the Fourth Proportional to 523,759.68, 785,623.92 and 144,703.12

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Solution

The fourth proportional to 523,759.68, 785,623.92 and 144,703.12 is: 217,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,759.68 : 785,623.92 = 144,703.12 : x
  2. Step 2: Convert to fraction form
    523,759.68/785,623.92 = 144,703.12/x
  3. Step 3: Cross multiply
    523,759.68x = 785,623.92 × 144,703.12
  4. Step 4: Simplify right side
    523,759.68x = 113,682,232,370.63
  5. Step 5: Solve for x
    x = 113,682,232,370.63/523,759.68
  6. Step 6: Final answer
    x = 217,050.37

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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.