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Finding the Fourth Proportional to 419,256.72, 578,561.62 and 232,987.54

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Solution

The fourth proportional to 419,256.72, 578,561.62 and 232,987.54 is: 321,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,256.72 : 578,561.62 = 232,987.54 : x
  2. Step 2: Convert to fraction form
    419,256.72/578,561.62 = 232,987.54/x
  3. Step 3: Cross multiply
    419,256.72x = 578,561.62 × 232,987.54
  4. Step 4: Simplify right side
    419,256.72x = 134,797,648,582.22
  5. Step 5: Solve for x
    x = 134,797,648,582.22/419,256.72
  6. Step 6: Final answer
    x = 321,515.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.