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Finding the Fourth Proportional to 474,615.64, 655,158.54 and 311,334.28

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Solution

The fourth proportional to 474,615.64, 655,158.54 and 311,334.28 is: 429,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,615.64 : 655,158.54 = 311,334.28 : x
  2. Step 2: Convert to fraction form
    474,615.64/655,158.54 = 311,334.28/x
  3. Step 3: Cross multiply
    474,615.64x = 655,158.54 × 311,334.28
  4. Step 4: Simplify right side
    474,615.64x = 203,973,312,336.75
  5. Step 5: Solve for x
    x = 203,973,312,336.75/474,615.64
  6. Step 6: Final answer
    x = 429,765.26

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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.