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Finding the Fourth Proportional to 567,147.77, 782,953.26 and 384,352.01

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Solution

The fourth proportional to 567,147.77, 782,953.26 and 384,352.01 is: 530,601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,147.77 : 782,953.26 = 384,352.01 : x
  2. Step 2: Convert to fraction form
    567,147.77/782,953.26 = 384,352.01/x
  3. Step 3: Cross multiply
    567,147.77x = 782,953.26 × 384,352.01
  4. Step 4: Simplify right side
    567,147.77x = 300,929,655,302.29
  5. Step 5: Solve for x
    x = 300,929,655,302.29/567,147.77
  6. Step 6: Final answer
    x = 530,601.85

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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.