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Finding the Fourth Proportional to 302,736.51, 417,771.14 and 175,423.95

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Solution

The fourth proportional to 302,736.51, 417,771.14 and 175,423.95 is: 242,082.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,736.51 : 417,771.14 = 175,423.95 : x
  2. Step 2: Convert to fraction form
    302,736.51/417,771.14 = 175,423.95/x
  3. Step 3: Cross multiply
    302,736.51x = 417,771.14 × 175,423.95
  4. Step 4: Simplify right side
    302,736.51x = 73,287,062,697.68
  5. Step 5: Solve for x
    x = 73,287,062,697.68/302,736.51
  6. Step 6: Final answer
    x = 242,082.01

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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.