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Finding the Fourth Proportional to 432,884.95, 649,266.59 and 148,570.85

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Solution

The fourth proportional to 432,884.95, 649,266.59 and 148,570.85 is: 222,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,884.95 : 649,266.59 = 148,570.85 : x
  2. Step 2: Convert to fraction form
    432,884.95/649,266.59 = 148,570.85/x
  3. Step 3: Cross multiply
    432,884.95x = 649,266.59 × 148,570.85
  4. Step 4: Simplify right side
    432,884.95x = 96,462,089,152.90
  5. Step 5: Solve for x
    x = 96,462,089,152.90/432,884.95
  6. Step 6: Final answer
    x = 222,835.40

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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.