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Finding the Fourth Proportional to 313,063.46, 432,027.54 and 177,094.50

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Solution

The fourth proportional to 313,063.46, 432,027.54 and 177,094.50 is: 244,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,063.46 : 432,027.54 = 177,094.50 : x
  2. Step 2: Convert to fraction form
    313,063.46/432,027.54 = 177,094.50/x
  3. Step 3: Cross multiply
    313,063.46x = 432,027.54 × 177,094.50
  4. Step 4: Simplify right side
    313,063.46x = 76,509,701,182.53
  5. Step 5: Solve for x
    x = 76,509,701,182.53/313,063.46
  6. Step 6: Final answer
    x = 244,390.39

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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.