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Finding the Fourth Proportional to 346,232, 477,800.28 and 187,256

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Solution

The fourth proportional to 346,232, 477,800.28 and 187,256 is: 258,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,232 : 477,800.28 = 187,256 : x
  2. Step 2: Convert to fraction form
    346,232/477,800.28 = 187,256/x
  3. Step 3: Cross multiply
    346,232x = 477,800.28 × 187,256
  4. Step 4: Simplify right side
    346,232x = 89,470,969,231.68
  5. Step 5: Solve for x
    x = 89,470,969,231.68/346,232
  6. Step 6: Final answer
    x = 258,413.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.