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Finding the Fourth Proportional to 433,384.30, 649,201.65 and 433,384.30

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Solution

The fourth proportional to 433,384.30, 649,201.65 and 433,384.30 is: 649,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,384.30 : 649,201.65 = 433,384.30 : x
  2. Step 2: Convert to fraction form
    433,384.30/649,201.65 = 433,384.30/x
  3. Step 3: Cross multiply
    433,384.30x = 649,201.65 × 433,384.30
  4. Step 4: Simplify right side
    433,384.30x = 281,353,802,644.10
  5. Step 5: Solve for x
    x = 281,353,802,644.10/433,384.30
  6. Step 6: Final answer
    x = 649,201.65

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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.