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Finding the Fourth Proportional to 468,046.30, 701,085.30 and 389,314.30

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Solution

The fourth proportional to 468,046.30, 701,085.30 and 389,314.30 is: 583,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,046.30 : 701,085.30 = 389,314.30 : x
  2. Step 2: Convert to fraction form
    468,046.30/701,085.30 = 389,314.30/x
  3. Step 3: Cross multiply
    468,046.30x = 701,085.30 × 389,314.30
  4. Step 4: Simplify right side
    468,046.30x = 272,942,532,809.79
  5. Step 5: Solve for x
    x = 272,942,532,809.79/468,046.30
  6. Step 6: Final answer
    x = 583,152.85

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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.