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Finding the Fourth Proportional to 461,298.94, 692,048.61 and 141,451.96

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Solution

The fourth proportional to 461,298.94, 692,048.61 and 141,451.96 is: 212,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,298.94 : 692,048.61 = 141,451.96 : x
  2. Step 2: Convert to fraction form
    461,298.94/692,048.61 = 141,451.96/x
  3. Step 3: Cross multiply
    461,298.94x = 692,048.61 × 141,451.96
  4. Step 4: Simplify right side
    461,298.94x = 97,891,632,299.78
  5. Step 5: Solve for x
    x = 97,891,632,299.78/461,298.94
  6. Step 6: Final answer
    x = 212,208.67

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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.