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Finding the Fourth Proportional to 665,098.34, 997,795.02 and 191,746.76

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Solution

The fourth proportional to 665,098.34, 997,795.02 and 191,746.76 is: 287,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,098.34 : 997,795.02 = 191,746.76 : x
  2. Step 2: Convert to fraction form
    665,098.34/997,795.02 = 191,746.76/x
  3. Step 3: Cross multiply
    665,098.34x = 997,795.02 × 191,746.76
  4. Step 4: Simplify right side
    665,098.34x = 191,323,962,229.14
  5. Step 5: Solve for x
    x = 191,323,962,229.14/665,098.34
  6. Step 6: Final answer
    x = 287,662.67

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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.