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Finding the Fourth Proportional to 295,534.66, 407,814.78 and 174,652.96

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Solution

The fourth proportional to 295,534.66, 407,814.78 and 174,652.96 is: 241,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,534.66 : 407,814.78 = 174,652.96 : x
  2. Step 2: Convert to fraction form
    295,534.66/407,814.78 = 174,652.96/x
  3. Step 3: Cross multiply
    295,534.66x = 407,814.78 × 174,652.96
  4. Step 4: Simplify right side
    295,534.66x = 71,226,058,458.75
  5. Step 5: Solve for x
    x = 71,226,058,458.75/295,534.66
  6. Step 6: Final answer
    x = 241,007.46

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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.