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Finding the Fourth Proportional to 295,703.15, 443,548.32 and 82,465.40

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Solution

The fourth proportional to 295,703.15, 443,548.32 and 82,465.40 is: 123,696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,703.15 : 443,548.32 = 82,465.40 : x
  2. Step 2: Convert to fraction form
    295,703.15/443,548.32 = 82,465.40/x
  3. Step 3: Cross multiply
    295,703.15x = 443,548.32 × 82,465.40
  4. Step 4: Simplify right side
    295,703.15x = 36,577,389,628.13
  5. Step 5: Solve for x
    x = 36,577,389,628.13/295,703.15
  6. Step 6: Final answer
    x = 123,696.31

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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.