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Finding the Fourth Proportional to 302,652.22, 417,629.16 and 186,347.22

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Solution

The fourth proportional to 302,652.22, 417,629.16 and 186,347.22 is: 257,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,652.22 : 417,629.16 = 186,347.22 : x
  2. Step 2: Convert to fraction form
    302,652.22/417,629.16 = 186,347.22/x
  3. Step 3: Cross multiply
    302,652.22x = 417,629.16 × 186,347.22
  4. Step 4: Simplify right side
    302,652.22x = 77,824,034,235.14
  5. Step 5: Solve for x
    x = 77,824,034,235.14/302,652.22
  6. Step 6: Final answer
    x = 257,140.14

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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.