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Finding the Fourth Proportional to 295,262, 407,483.46 and 167,978.60

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Solution

The fourth proportional to 295,262, 407,483.46 and 167,978.60 is: 231,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,262 : 407,483.46 = 167,978.60 : x
  2. Step 2: Convert to fraction form
    295,262/407,483.46 = 167,978.60/x
  3. Step 3: Cross multiply
    295,262x = 407,483.46 × 167,978.60
  4. Step 4: Simplify right side
    295,262x = 68,448,501,133.96
  5. Step 5: Solve for x
    x = 68,448,501,133.96/295,262
  6. Step 6: Final answer
    x = 231,822.93

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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.