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Finding the Fourth Proportional to 389,538.45, 537,570 and 228,509.64

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Solution

The fourth proportional to 389,538.45, 537,570 and 228,509.64 is: 315,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,538.45 : 537,570 = 228,509.64 : x
  2. Step 2: Convert to fraction form
    389,538.45/537,570 = 228,509.64/x
  3. Step 3: Cross multiply
    389,538.45x = 537,570 × 228,509.64
  4. Step 4: Simplify right side
    389,538.45x = 122,839,927,174.80
  5. Step 5: Solve for x
    x = 122,839,927,174.80/389,538.45
  6. Step 6: Final answer
    x = 315,347.37

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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.