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Finding the Fourth Proportional to 456,211.80, 683,021.70 and 431,386.20

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Solution

The fourth proportional to 456,211.80, 683,021.70 and 431,386.20 is: 645,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,211.80 : 683,021.70 = 431,386.20 : x
  2. Step 2: Convert to fraction form
    456,211.80/683,021.70 = 431,386.20/x
  3. Step 3: Cross multiply
    456,211.80x = 683,021.70 × 431,386.20
  4. Step 4: Simplify right side
    456,211.80x = 294,646,135,680.54
  5. Step 5: Solve for x
    x = 294,646,135,680.54/456,211.80
  6. Step 6: Final answer
    x = 645,853.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.