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Finding the Fourth Proportional to 519,938.40, 779,907.60 and 414,962.40

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Solution

The fourth proportional to 519,938.40, 779,907.60 and 414,962.40 is: 622,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,938.40 : 779,907.60 = 414,962.40 : x
  2. Step 2: Convert to fraction form
    519,938.40/779,907.60 = 414,962.40/x
  3. Step 3: Cross multiply
    519,938.40x = 779,907.60 × 414,962.40
  4. Step 4: Simplify right side
    519,938.40x = 323,632,329,474.24
  5. Step 5: Solve for x
    x = 323,632,329,474.24/519,938.40
  6. Step 6: Final answer
    x = 622,443.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.