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Finding the Fourth Proportional to 519,896.40, 778,532.40 and 341,437.20

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Solution

The fourth proportional to 519,896.40, 778,532.40 and 341,437.20 is: 511,294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,896.40 : 778,532.40 = 341,437.20 : x
  2. Step 2: Convert to fraction form
    519,896.40/778,532.40 = 341,437.20/x
  3. Step 3: Cross multiply
    519,896.40x = 778,532.40 × 341,437.20
  4. Step 4: Simplify right side
    519,896.40x = 265,819,922,765.28
  5. Step 5: Solve for x
    x = 265,819,922,765.28/519,896.40
  6. Step 6: Final answer
    x = 511,294.02

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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.