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Finding the Fourth Proportional to 314,722.86, 434,305.34 and 171,483.98

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Solution

The fourth proportional to 314,722.86, 434,305.34 and 171,483.98 is: 236,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,722.86 : 434,305.34 = 171,483.98 : x
  2. Step 2: Convert to fraction form
    314,722.86/434,305.34 = 171,483.98/x
  3. Step 3: Cross multiply
    314,722.86x = 434,305.34 × 171,483.98
  4. Step 4: Simplify right side
    314,722.86x = 74,476,408,238.45
  5. Step 5: Solve for x
    x = 74,476,408,238.45/314,722.86
  6. Step 6: Final answer
    x = 236,641.24

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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.