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Finding the Fourth Proportional to 299,428.66, 413,359.74 and 184,770.46

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Solution

The fourth proportional to 299,428.66, 413,359.74 and 184,770.46 is: 255,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,428.66 : 413,359.74 = 184,770.46 : x
  2. Step 2: Convert to fraction form
    299,428.66/413,359.74 = 184,770.46/x
  3. Step 3: Cross multiply
    299,428.66x = 413,359.74 × 184,770.46
  4. Step 4: Simplify right side
    299,428.66x = 76,376,666,314.63
  5. Step 5: Solve for x
    x = 76,376,666,314.63/299,428.66
  6. Step 6: Final answer
    x = 255,074.67

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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.