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Finding the Fourth Proportional to 295,762.24, 443,578 and 85,354.40

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Solution

The fourth proportional to 295,762.24, 443,578 and 85,354.40 is: 128,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,762.24 : 443,578 = 85,354.40 : x
  2. Step 2: Convert to fraction form
    295,762.24/443,578 = 85,354.40/x
  3. Step 3: Cross multiply
    295,762.24x = 443,578 × 85,354.40
  4. Step 4: Simplify right side
    295,762.24x = 37,861,334,043.20
  5. Step 5: Solve for x
    x = 37,861,334,043.20/295,762.24
  6. Step 6: Final answer
    x = 128,012.74

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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.