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Finding the Fourth Proportional to 456,098.80, 683,111.40 and 288,137.20

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Solution

The fourth proportional to 456,098.80, 683,111.40 and 288,137.20 is: 431,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,098.80 : 683,111.40 = 288,137.20 : x
  2. Step 2: Convert to fraction form
    456,098.80/683,111.40 = 288,137.20/x
  3. Step 3: Cross multiply
    456,098.80x = 683,111.40 × 288,137.20
  4. Step 4: Simplify right side
    456,098.80x = 196,829,806,084.08
  5. Step 5: Solve for x
    x = 196,829,806,084.08/456,098.80
  6. Step 6: Final answer
    x = 431,550.81

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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.