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Finding the Fourth Proportional to 302,417.55, 417,336.20 and 164,597.48

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Solution

The fourth proportional to 302,417.55, 417,336.20 and 164,597.48 is: 227,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,417.55 : 417,336.20 = 164,597.48 : x
  2. Step 2: Convert to fraction form
    302,417.55/417,336.20 = 164,597.48/x
  3. Step 3: Cross multiply
    302,417.55x = 417,336.20 × 164,597.48
  4. Step 4: Simplify right side
    302,417.55x = 68,692,483,923.11
  5. Step 5: Solve for x
    x = 68,692,483,923.11/302,417.55
  6. Step 6: Final answer
    x = 227,144.50

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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.