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Finding the Fourth Proportional to 321,973.20, 482,957.40 and 97,333.20

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Solution

The fourth proportional to 321,973.20, 482,957.40 and 97,333.20 is: 145,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,973.20 : 482,957.40 = 97,333.20 : x
  2. Step 2: Convert to fraction form
    321,973.20/482,957.40 = 97,333.20/x
  3. Step 3: Cross multiply
    321,973.20x = 482,957.40 × 97,333.20
  4. Step 4: Simplify right side
    321,973.20x = 47,007,789,205.68
  5. Step 5: Solve for x
    x = 47,007,789,205.68/321,973.20
  6. Step 6: Final answer
    x = 145,999.07

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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.