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Finding the Fourth Proportional to 576,327.60, 863,389.80 and 309,999.60

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Solution

The fourth proportional to 576,327.60, 863,389.80 and 309,999.60 is: 464,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,327.60 : 863,389.80 = 309,999.60 : x
  2. Step 2: Convert to fraction form
    576,327.60/863,389.80 = 309,999.60/x
  3. Step 3: Cross multiply
    576,327.60x = 863,389.80 × 309,999.60
  4. Step 4: Simplify right side
    576,327.60x = 267,650,492,644.08
  5. Step 5: Solve for x
    x = 267,650,492,644.08/576,327.60
  6. Step 6: Final answer
    x = 464,406.86

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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.