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Finding the Fourth Proportional to 342,588.58, 513,894.10 and 117,946.64

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Solution

The fourth proportional to 342,588.58, 513,894.10 and 117,946.64 is: 176,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,588.58 : 513,894.10 = 117,946.64 : x
  2. Step 2: Convert to fraction form
    342,588.58/513,894.10 = 117,946.64/x
  3. Step 3: Cross multiply
    342,588.58x = 513,894.10 × 117,946.64
  4. Step 4: Simplify right side
    342,588.58x = 60,612,082,410.82
  5. Step 5: Solve for x
    x = 60,612,082,410.82/342,588.58
  6. Step 6: Final answer
    x = 176,923.83

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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.