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Finding the Fourth Proportional to 469,542, 704,416.68 and 174,054

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Solution

The fourth proportional to 469,542, 704,416.68 and 174,054 is: 261,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,542 : 704,416.68 = 174,054 : x
  2. Step 2: Convert to fraction form
    469,542/704,416.68 = 174,054/x
  3. Step 3: Cross multiply
    469,542x = 704,416.68 × 174,054
  4. Step 4: Simplify right side
    469,542x = 122,606,540,820.72
  5. Step 5: Solve for x
    x = 122,606,540,820.72/469,542
  6. Step 6: Final answer
    x = 261,119.43

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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.