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Finding the Fourth Proportional to 295,711.40, 443,567.10 and 162,523.10

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Solution

The fourth proportional to 295,711.40, 443,567.10 and 162,523.10 is: 243,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,711.40 : 443,567.10 = 162,523.10 : x
  2. Step 2: Convert to fraction form
    295,711.40/443,567.10 = 162,523.10/x
  3. Step 3: Cross multiply
    295,711.40x = 443,567.10 × 162,523.10
  4. Step 4: Simplify right side
    295,711.40x = 72,089,900,150.01
  5. Step 5: Solve for x
    x = 72,089,900,150.01/295,711.40
  6. Step 6: Final answer
    x = 243,784.65

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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.