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Finding the Fourth Proportional to 302,711.57, 417,741.93 and 175,460.97

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Solution

The fourth proportional to 302,711.57, 417,741.93 and 175,460.97 is: 242,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,711.57 : 417,741.93 = 175,460.97 : x
  2. Step 2: Convert to fraction form
    302,711.57/417,741.93 = 175,460.97/x
  3. Step 3: Cross multiply
    302,711.57x = 417,741.93 × 175,460.97
  4. Step 4: Simplify right side
    302,711.57x = 73,297,404,247.47
  5. Step 5: Solve for x
    x = 73,297,404,247.47/302,711.57
  6. Step 6: Final answer
    x = 242,136.12

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1.5x scale

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.