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Finding the Fourth Proportional to 295,440.56, 407,666.95 and 166,357.34

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Solution

The fourth proportional to 295,440.56, 407,666.95 and 166,357.34 is: 229,550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,440.56 : 407,666.95 = 166,357.34 : x
  2. Step 2: Convert to fraction form
    295,440.56/407,666.95 = 166,357.34/x
  3. Step 3: Cross multiply
    295,440.56x = 407,666.95 × 166,357.34
  4. Step 4: Simplify right side
    295,440.56x = 67,818,386,953.68
  5. Step 5: Solve for x
    x = 67,818,386,953.68/295,440.56
  6. Step 6: Final answer
    x = 229,550.03

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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.