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Finding the Fourth Proportional to 414,564.40, 622,307.40 and 256,970.80

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Solution

The fourth proportional to 414,564.40, 622,307.40 and 256,970.80 is: 385,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,564.40 : 622,307.40 = 256,970.80 : x
  2. Step 2: Convert to fraction form
    414,564.40/622,307.40 = 256,970.80/x
  3. Step 3: Cross multiply
    414,564.40x = 622,307.40 × 256,970.80
  4. Step 4: Simplify right side
    414,564.40x = 159,914,830,423.92
  5. Step 5: Solve for x
    x = 159,914,830,423.92/414,564.40
  6. Step 6: Final answer
    x = 385,741.83

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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.