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Finding the Fourth Proportional to 494,564.70, 741,847.05 and 433,547.40

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Solution

The fourth proportional to 494,564.70, 741,847.05 and 433,547.40 is: 650,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,564.70 : 741,847.05 = 433,547.40 : x
  2. Step 2: Convert to fraction form
    494,564.70/741,847.05 = 433,547.40/x
  3. Step 3: Cross multiply
    494,564.70x = 741,847.05 × 433,547.40
  4. Step 4: Simplify right side
    494,564.70x = 321,625,859,725.17
  5. Step 5: Solve for x
    x = 321,625,859,725.17/494,564.70
  6. Step 6: Final answer
    x = 650,321.10

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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.