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Finding the Fourth Proportional to 519,314.40, 778,971.60 and 342,021.60

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Solution

The fourth proportional to 519,314.40, 778,971.60 and 342,021.60 is: 513,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,314.40 : 778,971.60 = 342,021.60 : x
  2. Step 2: Convert to fraction form
    519,314.40/778,971.60 = 342,021.60/x
  3. Step 3: Cross multiply
    519,314.40x = 778,971.60 × 342,021.60
  4. Step 4: Simplify right side
    519,314.40x = 266,425,112,986.56
  5. Step 5: Solve for x
    x = 266,425,112,986.56/519,314.40
  6. Step 6: Final answer
    x = 513,032.40

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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.