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Finding the Fourth Proportional to 531,892.34, 734,013.81 and 290,174.18

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Solution

The fourth proportional to 531,892.34, 734,013.81 and 290,174.18 is: 400,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,892.34 : 734,013.81 = 290,174.18 : x
  2. Step 2: Convert to fraction form
    531,892.34/734,013.81 = 290,174.18/x
  3. Step 3: Cross multiply
    531,892.34x = 734,013.81 × 290,174.18
  4. Step 4: Simplify right side
    531,892.34x = 212,991,855,425.43
  5. Step 5: Solve for x
    x = 212,991,855,425.43/531,892.34
  6. Step 6: Final answer
    x = 400,441.67

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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.