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Finding the Fourth Proportional to 256,084.40, 384,075.40 and 122,964.40

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Solution

The fourth proportional to 256,084.40, 384,075.40 and 122,964.40 is: 184,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,084.40 : 384,075.40 = 122,964.40 : x
  2. Step 2: Convert to fraction form
    256,084.40/384,075.40 = 122,964.40/x
  3. Step 3: Cross multiply
    256,084.40x = 384,075.40 × 122,964.40
  4. Step 4: Simplify right side
    256,084.40x = 47,227,601,115.76
  5. Step 5: Solve for x
    x = 47,227,601,115.76/256,084.40
  6. Step 6: Final answer
    x = 184,422.02

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1.5x scale

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.