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Finding the Fourth Proportional to 321,711.72, 482,411.58 and 97,030.68

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Solution

The fourth proportional to 321,711.72, 482,411.58 and 97,030.68 is: 145,498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,711.72 : 482,411.58 = 97,030.68 : x
  2. Step 2: Convert to fraction form
    321,711.72/482,411.58 = 97,030.68/x
  3. Step 3: Cross multiply
    321,711.72x = 482,411.58 × 97,030.68
  4. Step 4: Simplify right side
    321,711.72x = 46,808,723,647.27
  5. Step 5: Solve for x
    x = 46,808,723,647.27/321,711.72
  6. Step 6: Final answer
    x = 145,498.97

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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.