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Finding the Fourth Proportional to 464,564.07, 696,375.46 and 314,819.50

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Solution

The fourth proportional to 464,564.07, 696,375.46 and 314,819.50 is: 471,910.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,564.07 : 696,375.46 = 314,819.50 : x
  2. Step 2: Convert to fraction form
    464,564.07/696,375.46 = 314,819.50/x
  3. Step 3: Cross multiply
    464,564.07x = 696,375.46 × 314,819.50
  4. Step 4: Simplify right side
    464,564.07x = 219,232,574,129.47
  5. Step 5: Solve for x
    x = 219,232,574,129.47/464,564.07
  6. Step 6: Final answer
    x = 471,910.31

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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.