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Finding the Fourth Proportional to 302,711.40, 417,741.78 and 175,460.80

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Solution

The fourth proportional to 302,711.40, 417,741.78 and 175,460.80 is: 242,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,711.40 : 417,741.78 = 175,460.80 : x
  2. Step 2: Convert to fraction form
    302,711.40/417,741.78 = 175,460.80/x
  3. Step 3: Cross multiply
    302,711.40x = 417,741.78 × 175,460.80
  4. Step 4: Simplify right side
    302,711.40x = 73,297,306,912.22
  5. Step 5: Solve for x
    x = 73,297,306,912.22/302,711.40
  6. Step 6: Final answer
    x = 242,135.93

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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.