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Finding the Fourth Proportional to 468,726.54, 702,978.30 and 202,341.30

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Solution

The fourth proportional to 468,726.54, 702,978.30 and 202,341.30 is: 303,463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,726.54 : 702,978.30 = 202,341.30 : x
  2. Step 2: Convert to fraction form
    468,726.54/702,978.30 = 202,341.30/x
  3. Step 3: Cross multiply
    468,726.54x = 702,978.30 × 202,341.30
  4. Step 4: Simplify right side
    468,726.54x = 142,241,543,093.79
  5. Step 5: Solve for x
    x = 142,241,543,093.79/468,726.54
  6. Step 6: Final answer
    x = 303,463.81

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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.