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Finding the Fourth Proportional to 302,559.78, 417,588.54 and 175,235.38

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Solution

The fourth proportional to 302,559.78, 417,588.54 and 175,235.38 is: 241,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,559.78 : 417,588.54 = 175,235.38 : x
  2. Step 2: Convert to fraction form
    302,559.78/417,588.54 = 175,235.38/x
  3. Step 3: Cross multiply
    302,559.78x = 417,588.54 × 175,235.38
  4. Step 4: Simplify right side
    302,559.78x = 73,176,286,490.55
  5. Step 5: Solve for x
    x = 73,176,286,490.55/302,559.78
  6. Step 6: Final answer
    x = 241,857.28

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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.