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Finding the Fourth Proportional to 290,498.33, 400,822.01 and 175,774.11

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Solution

The fourth proportional to 290,498.33, 400,822.01 and 175,774.11 is: 242,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,498.33 : 400,822.01 = 175,774.11 : x
  2. Step 2: Convert to fraction form
    290,498.33/400,822.01 = 175,774.11/x
  3. Step 3: Cross multiply
    290,498.33x = 400,822.01 × 175,774.11
  4. Step 4: Simplify right side
    290,498.33x = 70,454,133,359.53
  5. Step 5: Solve for x
    x = 70,454,133,359.53/290,498.33
  6. Step 6: Final answer
    x = 242,528.54

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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.