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Finding the Fourth Proportional to 302,389.38, 417,297.24 and 175,062.24

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Solution

The fourth proportional to 302,389.38, 417,297.24 and 175,062.24 is: 241,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,389.38 : 417,297.24 = 175,062.24 : x
  2. Step 2: Convert to fraction form
    302,389.38/417,297.24 = 175,062.24/x
  3. Step 3: Cross multiply
    302,389.38x = 417,297.24 × 175,062.24
  4. Step 4: Simplify right side
    302,389.38x = 73,052,989,580.22
  5. Step 5: Solve for x
    x = 73,052,989,580.22/302,389.38
  6. Step 6: Final answer
    x = 241,585.83

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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.