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Finding the Fourth Proportional to 405,439.80, 608,159.70 and 256,140.60

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Solution

The fourth proportional to 405,439.80, 608,159.70 and 256,140.60 is: 384,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,439.80 : 608,159.70 = 256,140.60 : x
  2. Step 2: Convert to fraction form
    405,439.80/608,159.70 = 256,140.60/x
  3. Step 3: Cross multiply
    405,439.80x = 608,159.70 × 256,140.60
  4. Step 4: Simplify right side
    405,439.80x = 155,774,390,453.82
  5. Step 5: Solve for x
    x = 155,774,390,453.82/405,439.80
  6. Step 6: Final answer
    x = 384,210.90

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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.