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Finding the Fourth Proportional to 610,980.84, 916,516.22 and 161,698.67

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Solution

The fourth proportional to 610,980.84, 916,516.22 and 161,698.67 is: 242,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,980.84 : 916,516.22 = 161,698.67 : x
  2. Step 2: Convert to fraction form
    610,980.84/916,516.22 = 161,698.67/x
  3. Step 3: Cross multiply
    610,980.84x = 916,516.22 × 161,698.67
  4. Step 4: Simplify right side
    610,980.84x = 148,199,453,807.43
  5. Step 5: Solve for x
    x = 148,199,453,807.43/610,980.84
  6. Step 6: Final answer
    x = 242,559.90

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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.