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Finding the Fourth Proportional to 307,423, 461,202.63 and 94,220.38

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Solution

The fourth proportional to 307,423, 461,202.63 and 94,220.38 is: 141,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,423 : 461,202.63 = 94,220.38 : x
  2. Step 2: Convert to fraction form
    307,423/461,202.63 = 94,220.38/x
  3. Step 3: Cross multiply
    307,423x = 461,202.63 × 94,220.38
  4. Step 4: Simplify right side
    307,423x = 43,454,687,055.60
  5. Step 5: Solve for x
    x = 43,454,687,055.60/307,423
  6. Step 6: Final answer
    x = 141,351.45

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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.