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Finding the Fourth Proportional to 385,796.96, 532,393.98 and 216,037.16

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Solution

The fourth proportional to 385,796.96, 532,393.98 and 216,037.16 is: 298,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,796.96 : 532,393.98 = 216,037.16 : x
  2. Step 2: Convert to fraction form
    385,796.96/532,393.98 = 216,037.16/x
  3. Step 3: Cross multiply
    385,796.96x = 532,393.98 × 216,037.16
  4. Step 4: Simplify right side
    385,796.96x = 115,016,883,961.14
  5. Step 5: Solve for x
    x = 115,016,883,961.14/385,796.96
  6. Step 6: Final answer
    x = 298,128.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.