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Finding the Fourth Proportional to 321,762.24, 482,656.32 and 153,195.84

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Solution

The fourth proportional to 321,762.24, 482,656.32 and 153,195.84 is: 229,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,762.24 : 482,656.32 = 153,195.84 : x
  2. Step 2: Convert to fraction form
    321,762.24/482,656.32 = 153,195.84/x
  3. Step 3: Cross multiply
    321,762.24x = 482,656.32 × 153,195.84
  4. Step 4: Simplify right side
    321,762.24x = 73,940,940,373.71
  5. Step 5: Solve for x
    x = 73,940,940,373.71/321,762.24
  6. Step 6: Final answer
    x = 229,799.93

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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.