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Finding the Fourth Proportional to 353,145.70, 529,734.87 and 116,509.06

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Solution

The fourth proportional to 353,145.70, 529,734.87 and 116,509.06 is: 174,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,145.70 : 529,734.87 = 116,509.06 : x
  2. Step 2: Convert to fraction form
    353,145.70/529,734.87 = 116,509.06/x
  3. Step 3: Cross multiply
    353,145.70x = 529,734.87 × 116,509.06
  4. Step 4: Simplify right side
    353,145.70x = 61,718,911,752.92
  5. Step 5: Solve for x
    x = 61,718,911,752.92/353,145.70
  6. Step 6: Final answer
    x = 174,768.97

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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.