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Finding the Fourth Proportional to 353,156.50, 487,340.13 and 200,192.50

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Solution

The fourth proportional to 353,156.50, 487,340.13 and 200,192.50 is: 276,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,156.50 : 487,340.13 = 200,192.50 : x
  2. Step 2: Convert to fraction form
    353,156.50/487,340.13 = 200,192.50/x
  3. Step 3: Cross multiply
    353,156.50x = 487,340.13 × 200,192.50
  4. Step 4: Simplify right side
    353,156.50x = 97,561,838,975.03
  5. Step 5: Solve for x
    x = 97,561,838,975.03/353,156.50
  6. Step 6: Final answer
    x = 276,256.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.