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Finding the Fourth Proportional to 632,771.80, 947,775.30 and 491,421.40

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Solution

The fourth proportional to 632,771.80, 947,775.30 and 491,421.40 is: 736,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,771.80 : 947,775.30 = 491,421.40 : x
  2. Step 2: Convert to fraction form
    632,771.80/947,775.30 = 491,421.40/x
  3. Step 3: Cross multiply
    632,771.80x = 947,775.30 × 491,421.40
  4. Step 4: Simplify right side
    632,771.80x = 465,757,064,811.42
  5. Step 5: Solve for x
    x = 465,757,064,811.42/632,771.80
  6. Step 6: Final answer
    x = 736,058.50

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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.