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Finding the Fourth Proportional to 302,751, 417,809.34 and 168,615

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Solution

The fourth proportional to 302,751, 417,809.34 and 168,615 is: 232,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,751 : 417,809.34 = 168,615 : x
  2. Step 2: Convert to fraction form
    302,751/417,809.34 = 168,615/x
  3. Step 3: Cross multiply
    302,751x = 417,809.34 × 168,615
  4. Step 4: Simplify right side
    302,751x = 70,448,921,864.10
  5. Step 5: Solve for x
    x = 70,448,921,864.10/302,751
  6. Step 6: Final answer
    x = 232,695.92

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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.