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Finding the Fourth Proportional to 433,262.66, 649,688.86 and 253,400.12

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Solution

The fourth proportional to 433,262.66, 649,688.86 and 253,400.12 is: 379,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,262.66 : 649,688.86 = 253,400.12 : x
  2. Step 2: Convert to fraction form
    433,262.66/649,688.86 = 253,400.12/x
  3. Step 3: Cross multiply
    433,262.66x = 649,688.86 × 253,400.12
  4. Step 4: Simplify right side
    433,262.66x = 164,631,235,086.66
  5. Step 5: Solve for x
    x = 164,631,235,086.66/433,262.66
  6. Step 6: Final answer
    x = 379,980.21

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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.