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Finding the Fourth Proportional to 314,723.86, 434,306.72 and 171,484.98

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Solution

The fourth proportional to 314,723.86, 434,306.72 and 171,484.98 is: 236,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,723.86 : 434,306.72 = 171,484.98 : x
  2. Step 2: Convert to fraction form
    314,723.86/434,306.72 = 171,484.98/x
  3. Step 3: Cross multiply
    314,723.86x = 434,306.72 × 171,484.98
  4. Step 4: Simplify right side
    314,723.86x = 74,477,079,193.07
  5. Step 5: Solve for x
    x = 74,477,079,193.07/314,723.86
  6. Step 6: Final answer
    x = 236,642.62

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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.