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Finding the Fourth Proportional to 463,034.70, 698,022.60 and 432,172.44

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Solution

The fourth proportional to 463,034.70, 698,022.60 and 432,172.44 is: 651,497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,034.70 : 698,022.60 = 432,172.44 : x
  2. Step 2: Convert to fraction form
    463,034.70/698,022.60 = 432,172.44/x
  3. Step 3: Cross multiply
    463,034.70x = 698,022.60 × 432,172.44
  4. Step 4: Simplify right side
    463,034.70x = 301,666,130,217.14
  5. Step 5: Solve for x
    x = 301,666,130,217.14/463,034.70
  6. Step 6: Final answer
    x = 651,497.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.