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Finding the Fourth Proportional to 577,294.20, 866,978.10 and 419,700.60

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Solution

The fourth proportional to 577,294.20, 866,978.10 and 419,700.60 is: 630,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,294.20 : 866,978.10 = 419,700.60 : x
  2. Step 2: Convert to fraction form
    577,294.20/866,978.10 = 419,700.60/x
  3. Step 3: Cross multiply
    577,294.20x = 866,978.10 × 419,700.60
  4. Step 4: Simplify right side
    577,294.20x = 363,871,228,756.86
  5. Step 5: Solve for x
    x = 363,871,228,756.86/577,294.20
  6. Step 6: Final answer
    x = 630,304.67

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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.