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Finding the Fourth Proportional to 405,764.40, 609,145.80 and 256,004.40

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Solution

The fourth proportional to 405,764.40, 609,145.80 and 256,004.40 is: 384,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,764.40 : 609,145.80 = 256,004.40 : x
  2. Step 2: Convert to fraction form
    405,764.40/609,145.80 = 256,004.40/x
  3. Step 3: Cross multiply
    405,764.40x = 609,145.80 × 256,004.40
  4. Step 4: Simplify right side
    405,764.40x = 155,944,005,041.52
  5. Step 5: Solve for x
    x = 155,944,005,041.52/405,764.40
  6. Step 6: Final answer
    x = 384,321.55

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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.