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Finding the Fourth Proportional to 302,743.50, 417,786.03 and 168,607.50

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Solution

The fourth proportional to 302,743.50, 417,786.03 and 168,607.50 is: 232,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,743.50 : 417,786.03 = 168,607.50 : x
  2. Step 2: Convert to fraction form
    302,743.50/417,786.03 = 168,607.50/x
  3. Step 3: Cross multiply
    302,743.50x = 417,786.03 × 168,607.50
  4. Step 4: Simplify right side
    302,743.50x = 70,441,858,053.23
  5. Step 5: Solve for x
    x = 70,441,858,053.23/302,743.50
  6. Step 6: Final answer
    x = 232,678.35

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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.