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Finding the Fourth Proportional to 302,516.16, 417,454.56 and 175,182.72

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Solution

The fourth proportional to 302,516.16, 417,454.56 and 175,182.72 is: 241,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,516.16 : 417,454.56 = 175,182.72 : x
  2. Step 2: Convert to fraction form
    302,516.16/417,454.56 = 175,182.72/x
  3. Step 3: Cross multiply
    302,516.16x = 417,454.56 × 175,182.72
  4. Step 4: Simplify right side
    302,516.16x = 73,130,825,297.20
  5. Step 5: Solve for x
    x = 73,130,825,297.20/302,516.16
  6. Step 6: Final answer
    x = 241,741.88

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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.