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Finding the Fourth Proportional to 466,695, 700,042.50 and 134,271

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Solution

The fourth proportional to 466,695, 700,042.50 and 134,271 is: 201,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,695 : 700,042.50 = 134,271 : x
  2. Step 2: Convert to fraction form
    466,695/700,042.50 = 134,271/x
  3. Step 3: Cross multiply
    466,695x = 700,042.50 × 134,271
  4. Step 4: Simplify right side
    466,695x = 93,995,406,517.50
  5. Step 5: Solve for x
    x = 93,995,406,517.50/466,695
  6. Step 6: Final answer
    x = 201,406.50

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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.