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Finding the Fourth Proportional to 290,951.88, 401,510.97 and 163,624.74

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Solution

The fourth proportional to 290,951.88, 401,510.97 and 163,624.74 is: 225,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,951.88 : 401,510.97 = 163,624.74 : x
  2. Step 2: Convert to fraction form
    290,951.88/401,510.97 = 163,624.74/x
  3. Step 3: Cross multiply
    290,951.88x = 401,510.97 × 163,624.74
  4. Step 4: Simplify right side
    290,951.88x = 65,697,128,073.40
  5. Step 5: Solve for x
    x = 65,697,128,073.40/290,951.88
  6. Step 6: Final answer
    x = 225,800.67

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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.