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Finding the Fourth Proportional to 605,175.40, 909,731.40 and 428,903.20

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Solution

The fourth proportional to 605,175.40, 909,731.40 and 428,903.20 is: 644,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,175.40 : 909,731.40 = 428,903.20 : x
  2. Step 2: Convert to fraction form
    605,175.40/909,731.40 = 428,903.20/x
  3. Step 3: Cross multiply
    605,175.40x = 909,731.40 × 428,903.20
  4. Step 4: Simplify right side
    605,175.40x = 390,186,708,600.48
  5. Step 5: Solve for x
    x = 390,186,708,600.48/605,175.40
  6. Step 6: Final answer
    x = 644,749.78

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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.