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Finding the Fourth Proportional to 321,352.80, 482,030.94 and 96,711.72

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Solution

The fourth proportional to 321,352.80, 482,030.94 and 96,711.72 is: 145,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,352.80 : 482,030.94 = 96,711.72 : x
  2. Step 2: Convert to fraction form
    321,352.80/482,030.94 = 96,711.72/x
  3. Step 3: Cross multiply
    321,352.80x = 482,030.94 × 96,711.72
  4. Step 4: Simplify right side
    321,352.80x = 46,618,041,300.62
  5. Step 5: Solve for x
    x = 46,618,041,300.62/321,352.80
  6. Step 6: Final answer
    x = 145,068.10

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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.