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Finding the Fourth Proportional to 302,732, 417,783.12 and 168,596

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Solution

The fourth proportional to 302,732, 417,783.12 and 168,596 is: 232,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,732 : 417,783.12 = 168,596 : x
  2. Step 2: Convert to fraction form
    302,732/417,783.12 = 168,596/x
  3. Step 3: Cross multiply
    302,732x = 417,783.12 × 168,596
  4. Step 4: Simplify right side
    302,732x = 70,436,562,899.52
  5. Step 5: Solve for x
    x = 70,436,562,899.52/302,732
  6. Step 6: Final answer
    x = 232,669.70

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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.