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Finding the Fourth Proportional to 405,710.40, 608,738.40 and 256,065.60

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Solution

The fourth proportional to 405,710.40, 608,738.40 and 256,065.60 is: 384,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,710.40 : 608,738.40 = 256,065.60 : x
  2. Step 2: Convert to fraction form
    405,710.40/608,738.40 = 256,065.60/x
  3. Step 3: Cross multiply
    405,710.40x = 608,738.40 × 256,065.60
  4. Step 4: Simplify right side
    405,710.40x = 155,876,963,639.04
  5. Step 5: Solve for x
    x = 155,876,963,639.04/405,710.40
  6. Step 6: Final answer
    x = 384,207.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.