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Finding the Fourth Proportional to 419,504.94, 578,958.63 and 256,152.45

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Solution

The fourth proportional to 419,504.94, 578,958.63 and 256,152.45 is: 353,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,504.94 : 578,958.63 = 256,152.45 : x
  2. Step 2: Convert to fraction form
    419,504.94/578,958.63 = 256,152.45/x
  3. Step 3: Cross multiply
    419,504.94x = 578,958.63 × 256,152.45
  4. Step 4: Simplify right side
    419,504.94x = 148,301,671,523.14
  5. Step 5: Solve for x
    x = 148,301,671,523.14/419,504.94
  6. Step 6: Final answer
    x = 353,515.91

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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.