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Finding the Fourth Proportional to 536,921.60, 805,382.40 and 256,985.60

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Solution

The fourth proportional to 536,921.60, 805,382.40 and 256,985.60 is: 385,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,921.60 : 805,382.40 = 256,985.60 : x
  2. Step 2: Convert to fraction form
    536,921.60/805,382.40 = 256,985.60/x
  3. Step 3: Cross multiply
    536,921.60x = 805,382.40 × 256,985.60
  4. Step 4: Simplify right side
    536,921.60x = 206,971,679,293.44
  5. Step 5: Solve for x
    x = 206,971,679,293.44/536,921.60
  6. Step 6: Final answer
    x = 385,478.40

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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.