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Finding the Fourth Proportional to 605,141.40, 909,680.40 and 428,869.20

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Solution

The fourth proportional to 605,141.40, 909,680.40 and 428,869.20 is: 644,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,141.40 : 909,680.40 = 428,869.20 : x
  2. Step 2: Convert to fraction form
    605,141.40/909,680.40 = 428,869.20/x
  3. Step 3: Cross multiply
    605,141.40x = 909,680.40 × 428,869.20
  4. Step 4: Simplify right side
    605,141.40x = 390,133,905,403.68
  5. Step 5: Solve for x
    x = 390,133,905,403.68/605,141.40
  6. Step 6: Final answer
    x = 644,698.75

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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.