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Finding the Fourth Proportional to 468,907.41, 703,420.72 and 148,945.13

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Solution

The fourth proportional to 468,907.41, 703,420.72 and 148,945.13 is: 223,436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,907.41 : 703,420.72 = 148,945.13 : x
  2. Step 2: Convert to fraction form
    468,907.41/703,420.72 = 148,945.13/x
  3. Step 3: Cross multiply
    468,907.41x = 703,420.72 × 148,945.13
  4. Step 4: Simplify right side
    468,907.41x = 104,771,090,171.27
  5. Step 5: Solve for x
    x = 104,771,090,171.27/468,907.41
  6. Step 6: Final answer
    x = 223,436.63

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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.