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Finding the Fourth Proportional to 295,669.51, 443,518.54 and 82,437.01

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Solution

The fourth proportional to 295,669.51, 443,518.54 and 82,437.01 is: 123,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,669.51 : 443,518.54 = 82,437.01 : x
  2. Step 2: Convert to fraction form
    295,669.51/443,518.54 = 82,437.01/x
  3. Step 3: Cross multiply
    295,669.51x = 443,518.54 × 82,437.01
  4. Step 4: Simplify right side
    295,669.51x = 36,562,341,002.28
  5. Step 5: Solve for x
    x = 36,562,341,002.28/295,669.51
  6. Step 6: Final answer
    x = 123,659.49

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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.