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Finding the Fourth Proportional to 321,991.94, 483,005.00 and 97,346.64

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Solution

The fourth proportional to 321,991.94, 483,005.00 and 97,346.64 is: 146,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,991.94 : 483,005.00 = 97,346.64 : x
  2. Step 2: Convert to fraction form
    321,991.94/483,005.00 = 97,346.64/x
  3. Step 3: Cross multiply
    321,991.94x = 483,005.00 × 97,346.64
  4. Step 4: Simplify right side
    321,991.94x = 47,018,914,307.20
  5. Step 5: Solve for x
    x = 47,018,914,307.20/321,991.94
  6. Step 6: Final answer
    x = 146,025.13

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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.