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Finding the Fourth Proportional to 531,015.12, 796,678.32 and 157,047.84

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Solution

The fourth proportional to 531,015.12, 796,678.32 and 157,047.84 is: 235,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,015.12 : 796,678.32 = 157,047.84 : x
  2. Step 2: Convert to fraction form
    531,015.12/796,678.32 = 157,047.84/x
  3. Step 3: Cross multiply
    531,015.12x = 796,678.32 × 157,047.84
  4. Step 4: Simplify right side
    531,015.12x = 125,116,609,330.83
  5. Step 5: Solve for x
    x = 125,116,609,330.83/531,015.12
  6. Step 6: Final answer
    x = 235,617.79

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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.