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Finding the Fourth Proportional to 296,407.93, 444,613.01 and 71,768

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Solution

The fourth proportional to 296,407.93, 444,613.01 and 71,768 is: 107,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,407.93 : 444,613.01 = 71,768 : x
  2. Step 2: Convert to fraction form
    296,407.93/444,613.01 = 71,768/x
  3. Step 3: Cross multiply
    296,407.93x = 444,613.01 × 71,768
  4. Step 4: Simplify right side
    296,407.93x = 31,908,986,501.68
  5. Step 5: Solve for x
    x = 31,908,986,501.68/296,407.93
  6. Step 6: Final answer
    x = 107,652.27

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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.