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Finding the Fourth Proportional to 321,723.54, 482,589.02 and 97,085.93

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Solution

The fourth proportional to 321,723.54, 482,589.02 and 97,085.93 is: 145,630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,723.54 : 482,589.02 = 97,085.93 : x
  2. Step 2: Convert to fraction form
    321,723.54/482,589.02 = 97,085.93/x
  3. Step 3: Cross multiply
    321,723.54x = 482,589.02 × 97,085.93
  4. Step 4: Simplify right side
    321,723.54x = 46,852,600,916.11
  5. Step 5: Solve for x
    x = 46,852,600,916.11/321,723.54
  6. Step 6: Final answer
    x = 145,630.01

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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.