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Finding the Fourth Proportional to 256,210.80, 384,316.20 and 243,963.60

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Solution

The fourth proportional to 256,210.80, 384,316.20 and 243,963.60 is: 365,945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,210.80 : 384,316.20 = 243,963.60 : x
  2. Step 2: Convert to fraction form
    256,210.80/384,316.20 = 243,963.60/x
  3. Step 3: Cross multiply
    256,210.80x = 384,316.20 × 243,963.60
  4. Step 4: Simplify right side
    256,210.80x = 93,759,163,690.32
  5. Step 5: Solve for x
    x = 93,759,163,690.32/256,210.80
  6. Step 6: Final answer
    x = 365,945.40

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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.