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Finding the Fourth Proportional to 370,316.40, 511,036.92 and 209,171.76

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Solution

The fourth proportional to 370,316.40, 511,036.92 and 209,171.76 is: 288,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,316.40 : 511,036.92 = 209,171.76 : x
  2. Step 2: Convert to fraction form
    370,316.40/511,036.92 = 209,171.76/x
  3. Step 3: Cross multiply
    370,316.40x = 511,036.92 × 209,171.76
  4. Step 4: Simplify right side
    370,316.40x = 106,894,491,981.38
  5. Step 5: Solve for x
    x = 106,894,491,981.38/370,316.40
  6. Step 6: Final answer
    x = 288,657.19

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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.