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Finding the Fourth Proportional to 385,728.96, 532,300.02 and 215,969.16

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Solution

The fourth proportional to 385,728.96, 532,300.02 and 215,969.16 is: 298,034.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,728.96 : 532,300.02 = 215,969.16 : x
  2. Step 2: Convert to fraction form
    385,728.96/532,300.02 = 215,969.16/x
  3. Step 3: Cross multiply
    385,728.96x = 532,300.02 × 215,969.16
  4. Step 4: Simplify right side
    385,728.96x = 114,960,388,187.38
  5. Step 5: Solve for x
    x = 114,960,388,187.38/385,728.96
  6. Step 6: Final answer
    x = 298,034.11

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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.