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Finding the Fourth Proportional to 302,509.29, 417,455.19 and 166,541.88

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Solution

The fourth proportional to 302,509.29, 417,455.19 and 166,541.88 is: 229,823.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,509.29 : 417,455.19 = 166,541.88 : x
  2. Step 2: Convert to fraction form
    302,509.29/417,455.19 = 166,541.88/x
  3. Step 3: Cross multiply
    302,509.29x = 417,455.19 × 166,541.88
  4. Step 4: Simplify right side
    302,509.29x = 69,523,772,158.36
  5. Step 5: Solve for x
    x = 69,523,772,158.36/302,509.29
  6. Step 6: Final answer
    x = 229,823.59

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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.