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Finding the Fourth Proportional to 256,544.74, 384,452.61 and 121,464.69

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Solution

The fourth proportional to 256,544.74, 384,452.61 and 121,464.69 is: 182,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,544.74 : 384,452.61 = 121,464.69 : x
  2. Step 2: Convert to fraction form
    256,544.74/384,452.61 = 121,464.69/x
  3. Step 3: Cross multiply
    256,544.74x = 384,452.61 × 121,464.69
  4. Step 4: Simplify right side
    256,544.74x = 46,697,417,093.34
  5. Step 5: Solve for x
    x = 46,697,417,093.34/256,544.74
  6. Step 6: Final answer
    x = 182,024.46

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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.