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Finding the Fourth Proportional to 302,699.94, 417,774.69 and 175,448.94

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Solution

The fourth proportional to 302,699.94, 417,774.69 and 175,448.94 is: 242,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,699.94 : 417,774.69 = 175,448.94 : x
  2. Step 2: Convert to fraction form
    302,699.94/417,774.69 = 175,448.94/x
  3. Step 3: Cross multiply
    302,699.94x = 417,774.69 × 175,448.94
  4. Step 4: Simplify right side
    302,699.94x = 73,298,126,519.33
  5. Step 5: Solve for x
    x = 73,298,126,519.33/302,699.94
  6. Step 6: Final answer
    x = 242,147.81

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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.