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Finding the Fourth Proportional to 512,005.60, 768,008.40 and 325,842.40

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Solution

The fourth proportional to 512,005.60, 768,008.40 and 325,842.40 is: 488,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,005.60 : 768,008.40 = 325,842.40 : x
  2. Step 2: Convert to fraction form
    512,005.60/768,008.40 = 325,842.40/x
  3. Step 3: Cross multiply
    512,005.60x = 768,008.40 × 325,842.40
  4. Step 4: Simplify right side
    512,005.60x = 250,249,700,276.16
  5. Step 5: Solve for x
    x = 250,249,700,276.16/512,005.60
  6. Step 6: Final answer
    x = 488,763.60

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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.