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Finding the Fourth Proportional to 302,733, 417,784.50 and 168,597

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Solution

The fourth proportional to 302,733, 417,784.50 and 168,597 is: 232,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,733 : 417,784.50 = 168,597 : x
  2. Step 2: Convert to fraction form
    302,733/417,784.50 = 168,597/x
  3. Step 3: Cross multiply
    302,733x = 417,784.50 × 168,597
  4. Step 4: Simplify right side
    302,733x = 70,437,213,346.50
  5. Step 5: Solve for x
    x = 70,437,213,346.50/302,733
  6. Step 6: Final answer
    x = 232,671.08

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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.