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Finding the Fourth Proportional to 532,830.40, 799,245.60 and 384,114.40

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Solution

The fourth proportional to 532,830.40, 799,245.60 and 384,114.40 is: 576,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,830.40 : 799,245.60 = 384,114.40 : x
  2. Step 2: Convert to fraction form
    532,830.40/799,245.60 = 384,114.40/x
  3. Step 3: Cross multiply
    532,830.40x = 799,245.60 × 384,114.40
  4. Step 4: Simplify right side
    532,830.40x = 307,001,744,096.64
  5. Step 5: Solve for x
    x = 307,001,744,096.64/532,830.40
  6. Step 6: Final answer
    x = 576,171.60

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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.