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Finding the Fourth Proportional to 601,152, 829,589.76 and 332,880

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Solution

The fourth proportional to 601,152, 829,589.76 and 332,880 is: 459,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,152 : 829,589.76 = 332,880 : x
  2. Step 2: Convert to fraction form
    601,152/829,589.76 = 332,880/x
  3. Step 3: Cross multiply
    601,152x = 829,589.76 × 332,880
  4. Step 4: Simplify right side
    601,152x = 276,153,839,308.80
  5. Step 5: Solve for x
    x = 276,153,839,308.80/601,152
  6. Step 6: Final answer
    x = 459,374.40

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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.