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Finding the Fourth Proportional to 302,391.53, 417,292.66 and 164,564.60

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Solution

The fourth proportional to 302,391.53, 417,292.66 and 164,564.60 is: 227,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,391.53 : 417,292.66 = 164,564.60 : x
  2. Step 2: Convert to fraction form
    302,391.53/417,292.66 = 164,564.60/x
  3. Step 3: Cross multiply
    302,391.53x = 417,292.66 × 164,564.60
  4. Step 4: Simplify right side
    302,391.53x = 68,671,597,795.08
  5. Step 5: Solve for x
    x = 68,671,597,795.08/302,391.53
  6. Step 6: Final answer
    x = 227,094.98

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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.