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Finding the Fourth Proportional to 450,146, 674,469.33 and 316,746.01

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Solution

The fourth proportional to 450,146, 674,469.33 and 316,746.01 is: 474,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,146 : 674,469.33 = 316,746.01 : x
  2. Step 2: Convert to fraction form
    450,146/674,469.33 = 316,746.01/x
  3. Step 3: Cross multiply
    450,146x = 674,469.33 × 316,746.01
  4. Step 4: Simplify right side
    450,146x = 213,635,469,144.87
  5. Step 5: Solve for x
    x = 213,635,469,144.87/450,146
  6. Step 6: Final answer
    x = 474,591.51

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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.