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Finding the Fourth Proportional to 489,985.20, 734,977.80 and 411,253.20

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Solution

The fourth proportional to 489,985.20, 734,977.80 and 411,253.20 is: 616,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,985.20 : 734,977.80 = 411,253.20 : x
  2. Step 2: Convert to fraction form
    489,985.20/734,977.80 = 411,253.20/x
  3. Step 3: Cross multiply
    489,985.20x = 734,977.80 × 411,253.20
  4. Step 4: Simplify right side
    489,985.20x = 302,261,972,178.96
  5. Step 5: Solve for x
    x = 302,261,972,178.96/489,985.20
  6. Step 6: Final answer
    x = 616,879.80

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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.