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Finding the Fourth Proportional to 308,463.60, 462,695.40 and 184,047.60

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Solution

The fourth proportional to 308,463.60, 462,695.40 and 184,047.60 is: 276,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,463.60 : 462,695.40 = 184,047.60 : x
  2. Step 2: Convert to fraction form
    308,463.60/462,695.40 = 184,047.60/x
  3. Step 3: Cross multiply
    308,463.60x = 462,695.40 × 184,047.60
  4. Step 4: Simplify right side
    308,463.60x = 85,157,977,901.04
  5. Step 5: Solve for x
    x = 85,157,977,901.04/308,463.60
  6. Step 6: Final answer
    x = 276,071.40

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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.