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Finding the Fourth Proportional to 463,971.74, 695,944.64 and 148,447.58

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Solution

The fourth proportional to 463,971.74, 695,944.64 and 148,447.58 is: 222,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,971.74 : 695,944.64 = 148,447.58 : x
  2. Step 2: Convert to fraction form
    463,971.74/695,944.64 = 148,447.58/x
  3. Step 3: Cross multiply
    463,971.74x = 695,944.64 × 148,447.58
  4. Step 4: Simplify right side
    463,971.74x = 103,311,294,513.37
  5. Step 5: Solve for x
    x = 103,311,294,513.37/463,971.74
  6. Step 6: Final answer
    x = 222,667.22

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1.5x scale

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.