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Finding the Fourth Proportional to 291,809.69, 437,911.43 and 114,294.54

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Solution

The fourth proportional to 291,809.69, 437,911.43 and 114,294.54 is: 171,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,809.69 : 437,911.43 = 114,294.54 : x
  2. Step 2: Convert to fraction form
    291,809.69/437,911.43 = 114,294.54/x
  3. Step 3: Cross multiply
    291,809.69x = 437,911.43 × 114,294.54
  4. Step 4: Simplify right side
    291,809.69x = 50,050,884,881.12
  5. Step 5: Solve for x
    x = 50,050,884,881.12/291,809.69
  6. Step 6: Final answer
    x = 171,518.93

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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.