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Finding the Fourth Proportional to 302,214.54, 417,053.76 and 166,245.56

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Solution

The fourth proportional to 302,214.54, 417,053.76 and 166,245.56 is: 229,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,214.54 : 417,053.76 = 166,245.56 : x
  2. Step 2: Convert to fraction form
    302,214.54/417,053.76 = 166,245.56/x
  3. Step 3: Cross multiply
    302,214.54x = 417,053.76 × 166,245.56
  4. Step 4: Simplify right side
    302,214.54x = 69,333,335,881.31
  5. Step 5: Solve for x
    x = 69,333,335,881.31/302,214.54
  6. Step 6: Final answer
    x = 229,417.60

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1.5x scale

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.