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Finding the Fourth Proportional to 321,643.91, 482,562.23 and 97,011.68

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Solution

The fourth proportional to 321,643.91, 482,562.23 and 97,011.68 is: 145,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,643.91 : 482,562.23 = 97,011.68 : x
  2. Step 2: Convert to fraction form
    321,643.91/482,562.23 = 97,011.68/x
  3. Step 3: Cross multiply
    321,643.91x = 482,562.23 × 97,011.68
  4. Step 4: Simplify right side
    321,643.91x = 46,814,170,557.51
  5. Step 5: Solve for x
    x = 46,814,170,557.51/321,643.91
  6. Step 6: Final answer
    x = 145,546.58

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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.