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Finding the Fourth Proportional to 370,326.93, 511,082.63 and 209,211.55

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Solution

The fourth proportional to 370,326.93, 511,082.63 and 209,211.55 is: 288,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,326.93 : 511,082.63 = 209,211.55 : x
  2. Step 2: Convert to fraction form
    370,326.93/511,082.63 = 209,211.55/x
  3. Step 3: Cross multiply
    370,326.93x = 511,082.63 × 209,211.55
  4. Step 4: Simplify right side
    370,326.93x = 106,924,389,200.38
  5. Step 5: Solve for x
    x = 106,924,389,200.38/370,326.93
  6. Step 6: Final answer
    x = 288,729.72

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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.