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Finding the Fourth Proportional to 342,573.14, 513,894.24 and 117,904.05

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Solution

The fourth proportional to 342,573.14, 513,894.24 and 117,904.05 is: 176,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,573.14 : 513,894.24 = 117,904.05 : x
  2. Step 2: Convert to fraction form
    342,573.14/513,894.24 = 117,904.05/x
  3. Step 3: Cross multiply
    342,573.14x = 513,894.24 × 117,904.05
  4. Step 4: Simplify right side
    342,573.14x = 60,590,212,167.67
  5. Step 5: Solve for x
    x = 60,590,212,167.67/342,573.14
  6. Step 6: Final answer
    x = 176,867.96

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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.