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Finding the Fourth Proportional to 321,735.05, 482,606.02 and 97,097.50

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Solution

The fourth proportional to 321,735.05, 482,606.02 and 97,097.50 is: 145,647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,735.05 : 482,606.02 = 97,097.50 : x
  2. Step 2: Convert to fraction form
    321,735.05/482,606.02 = 97,097.50/x
  3. Step 3: Cross multiply
    321,735.05x = 482,606.02 × 97,097.50
  4. Step 4: Simplify right side
    321,735.05x = 46,859,838,751.58
  5. Step 5: Solve for x
    x = 46,859,838,751.58/321,735.05
  6. Step 6: Final answer
    x = 145,647.29

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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.