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Finding the Fourth Proportional to 308,718.16, 463,077.36 and 203,512.60

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Solution

The fourth proportional to 308,718.16, 463,077.36 and 203,512.60 is: 305,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,718.16 : 463,077.36 = 203,512.60 : x
  2. Step 2: Convert to fraction form
    308,718.16/463,077.36 = 203,512.60/x
  3. Step 3: Cross multiply
    308,718.16x = 463,077.36 × 203,512.60
  4. Step 4: Simplify right side
    308,718.16x = 94,242,077,534.74
  5. Step 5: Solve for x
    x = 94,242,077,534.74/308,718.16
  6. Step 6: Final answer
    x = 305,268.98

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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.