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Finding the Fourth Proportional to 295,409.68, 443,114.52 and 234,031.12

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Solution

The fourth proportional to 295,409.68, 443,114.52 and 234,031.12 is: 351,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,409.68 : 443,114.52 = 234,031.12 : x
  2. Step 2: Convert to fraction form
    295,409.68/443,114.52 = 234,031.12/x
  3. Step 3: Cross multiply
    295,409.68x = 443,114.52 × 234,031.12
  4. Step 4: Simplify right side
    295,409.68x = 103,702,587,403.86
  5. Step 5: Solve for x
    x = 103,702,587,403.86/295,409.68
  6. Step 6: Final answer
    x = 351,046.68

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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.