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Finding the Fourth Proportional to 296,433.20, 409,039.28 and 169,101.20

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Solution

The fourth proportional to 296,433.20, 409,039.28 and 169,101.20 is: 233,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,433.20 : 409,039.28 = 169,101.20 : x
  2. Step 2: Convert to fraction form
    296,433.20/409,039.28 = 169,101.20/x
  3. Step 3: Cross multiply
    296,433.20x = 409,039.28 × 169,101.20
  4. Step 4: Simplify right side
    296,433.20x = 69,169,033,095.14
  5. Step 5: Solve for x
    x = 69,169,033,095.14/296,433.20
  6. Step 6: Final answer
    x = 233,337.67

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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.