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Finding the Fourth Proportional to 289,384.32, 434,168.64 and 123,219.84

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Solution

The fourth proportional to 289,384.32, 434,168.64 and 123,219.84 is: 184,869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,384.32 : 434,168.64 = 123,219.84 : x
  2. Step 2: Convert to fraction form
    289,384.32/434,168.64 = 123,219.84/x
  3. Step 3: Cross multiply
    289,384.32x = 434,168.64 × 123,219.84
  4. Step 4: Simplify right side
    289,384.32x = 53,498,190,353.82
  5. Step 5: Solve for x
    x = 53,498,190,353.82/289,384.32
  6. Step 6: Final answer
    x = 184,869.00

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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.