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Finding the Fourth Proportional to 474,313.03, 711,298.23 and 158,696.14

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Solution

The fourth proportional to 474,313.03, 711,298.23 and 158,696.14 is: 237,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,313.03 : 711,298.23 = 158,696.14 : x
  2. Step 2: Convert to fraction form
    474,313.03/711,298.23 = 158,696.14/x
  3. Step 3: Cross multiply
    474,313.03x = 711,298.23 × 158,696.14
  4. Step 4: Simplify right side
    474,313.03x = 112,880,283,489.83
  5. Step 5: Solve for x
    x = 112,880,283,489.83/474,313.03
  6. Step 6: Final answer
    x = 237,986.89

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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.