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Finding the Fourth Proportional to 302,868.57, 417,943.67 and 175,585.53

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Solution

The fourth proportional to 302,868.57, 417,943.67 and 175,585.53 is: 242,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,868.57 : 417,943.67 = 175,585.53 : x
  2. Step 2: Convert to fraction form
    302,868.57/417,943.67 = 175,585.53/x
  3. Step 3: Cross multiply
    302,868.57x = 417,943.67 × 175,585.53
  4. Step 4: Simplify right side
    302,868.57x = 73,384,859,929.17
  5. Step 5: Solve for x
    x = 73,384,859,929.17/302,868.57
  6. Step 6: Final answer
    x = 242,299.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.