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Finding the Fourth Proportional to 349,419.66, 524,141.11 and 96,678.97

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Solution

The fourth proportional to 349,419.66, 524,141.11 and 96,678.97 is: 145,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,419.66 : 524,141.11 = 96,678.97 : x
  2. Step 2: Convert to fraction form
    349,419.66/524,141.11 = 96,678.97/x
  3. Step 3: Cross multiply
    349,419.66x = 524,141.11 × 96,678.97
  4. Step 4: Simplify right side
    349,419.66x = 50,673,421,459.95
  5. Step 5: Solve for x
    x = 50,673,421,459.95/349,419.66
  6. Step 6: Final answer
    x = 145,021.67

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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.