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Finding the Fourth Proportional to 468,308.50, 702,403.50 and 148,463.47

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Solution

The fourth proportional to 468,308.50, 702,403.50 and 148,463.47 is: 222,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,308.50 : 702,403.50 = 148,463.47 : x
  2. Step 2: Convert to fraction form
    468,308.50/702,403.50 = 148,463.47/x
  3. Step 3: Cross multiply
    468,308.50x = 702,403.50 × 148,463.47
  4. Step 4: Simplify right side
    468,308.50x = 104,281,260,950.15
  5. Step 5: Solve for x
    x = 104,281,260,950.15/468,308.50
  6. Step 6: Final answer
    x = 222,676.42

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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.