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Finding the Fourth Proportional to 308,783.40, 462,956.40 and 140,384.40

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Solution

The fourth proportional to 308,783.40, 462,956.40 and 140,384.40 is: 210,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,783.40 : 462,956.40 = 140,384.40 : x
  2. Step 2: Convert to fraction form
    308,783.40/462,956.40 = 140,384.40/x
  3. Step 3: Cross multiply
    308,783.40x = 462,956.40 × 140,384.40
  4. Step 4: Simplify right side
    308,783.40x = 64,991,856,440.16
  5. Step 5: Solve for x
    x = 64,991,856,440.16/308,783.40
  6. Step 6: Final answer
    x = 210,477.17

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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.