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Finding the Fourth Proportional to 472,090.64, 707,459.20 and 377,606.56

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Solution

The fourth proportional to 472,090.64, 707,459.20 and 377,606.56 is: 565,868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,090.64 : 707,459.20 = 377,606.56 : x
  2. Step 2: Convert to fraction form
    472,090.64/707,459.20 = 377,606.56/x
  3. Step 3: Cross multiply
    472,090.64x = 707,459.20 × 377,606.56
  4. Step 4: Simplify right side
    472,090.64x = 267,141,234,852.35
  5. Step 5: Solve for x
    x = 267,141,234,852.35/472,090.64
  6. Step 6: Final answer
    x = 565,868.53

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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.