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Finding the Fourth Proportional to 647,967.47, 971,840.45 and 174,542.11

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Solution

The fourth proportional to 647,967.47, 971,840.45 and 174,542.11 is: 261,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,967.47 : 971,840.45 = 174,542.11 : x
  2. Step 2: Convert to fraction form
    647,967.47/971,840.45 = 174,542.11/x
  3. Step 3: Cross multiply
    647,967.47x = 971,840.45 × 174,542.11
  4. Step 4: Simplify right side
    647,967.47x = 169,627,082,726.35
  5. Step 5: Solve for x
    x = 169,627,082,726.35/647,967.47
  6. Step 6: Final answer
    x = 261,783.33

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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.