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Finding the Fourth Proportional to 302,563.18, 417,352.98 and 186,295.36

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Solution

The fourth proportional to 302,563.18, 417,352.98 and 186,295.36 is: 256,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,563.18 : 417,352.98 = 186,295.36 : x
  2. Step 2: Convert to fraction form
    302,563.18/417,352.98 = 186,295.36/x
  3. Step 3: Cross multiply
    302,563.18x = 417,352.98 × 186,295.36
  4. Step 4: Simplify right side
    302,563.18x = 77,750,923,656.17
  5. Step 5: Solve for x
    x = 77,750,923,656.17/302,563.18
  6. Step 6: Final answer
    x = 256,974.18

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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.