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Finding the Fourth Proportional to 302,842.88, 417,931.81 and 168,715.52

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Solution

The fourth proportional to 302,842.88, 417,931.81 and 168,715.52 is: 232,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,842.88 : 417,931.81 = 168,715.52 : x
  2. Step 2: Convert to fraction form
    302,842.88/417,931.81 = 168,715.52/x
  3. Step 3: Cross multiply
    302,842.88x = 417,931.81 × 168,715.52
  4. Step 4: Simplify right side
    302,842.88x = 70,511,580,137.24
  5. Step 5: Solve for x
    x = 70,511,580,137.24/302,842.88
  6. Step 6: Final answer
    x = 232,832.22

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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.