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Finding the Fourth Proportional to 256,500.60, 384,750.90 and 123,312.30

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Solution

The fourth proportional to 256,500.60, 384,750.90 and 123,312.30 is: 184,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,500.60 : 384,750.90 = 123,312.30 : x
  2. Step 2: Convert to fraction form
    256,500.60/384,750.90 = 123,312.30/x
  3. Step 3: Cross multiply
    256,500.60x = 384,750.90 × 123,312.30
  4. Step 4: Simplify right side
    256,500.60x = 47,444,518,406.07
  5. Step 5: Solve for x
    x = 47,444,518,406.07/256,500.60
  6. Step 6: Final answer
    x = 184,968.45

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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.