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Finding the Fourth Proportional to 659,747.16, 989,639.10 and 233,222.67

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Solution

The fourth proportional to 659,747.16, 989,639.10 and 233,222.67 is: 349,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,747.16 : 989,639.10 = 233,222.67 : x
  2. Step 2: Convert to fraction form
    659,747.16/989,639.10 = 233,222.67/x
  3. Step 3: Cross multiply
    659,747.16x = 989,639.10 × 233,222.67
  4. Step 4: Simplify right side
    659,747.16x = 230,806,273,238.40
  5. Step 5: Solve for x
    x = 230,806,273,238.40/659,747.16
  6. Step 6: Final answer
    x = 349,840.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.