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Finding the Fourth Proportional to 919,318.67, 1,378,978 and 288,281.69

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Solution

The fourth proportional to 919,318.67, 1,378,978 and 288,281.69 is: 432,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,318.67 : 1,378,978 = 288,281.69 : x
  2. Step 2: Convert to fraction form
    919,318.67/1,378,978 = 288,281.69/x
  3. Step 3: Cross multiply
    919,318.67x = 1,378,978 × 288,281.69
  4. Step 4: Simplify right side
    919,318.67x = 397,534,108,312.82
  5. Step 5: Solve for x
    x = 397,534,108,312.82/919,318.67
  6. Step 6: Final answer
    x = 432,422.53

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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.