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Finding the Fourth Proportional to 364,812.14, 546,096.56 and 311,003.57

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Solution

The fourth proportional to 364,812.14, 546,096.56 and 311,003.57 is: 465,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,812.14 : 546,096.56 = 311,003.57 : x
  2. Step 2: Convert to fraction form
    364,812.14/546,096.56 = 311,003.57/x
  3. Step 3: Cross multiply
    364,812.14x = 546,096.56 × 311,003.57
  4. Step 4: Simplify right side
    364,812.14x = 169,837,975,439.22
  5. Step 5: Solve for x
    x = 169,837,975,439.22/364,812.14
  6. Step 6: Final answer
    x = 465,549.14

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1.5x scale

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.