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Finding the Fourth Proportional to 298,564.34, 447,473.03 and 235,133.95

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Solution

The fourth proportional to 298,564.34, 447,473.03 and 235,133.95 is: 352,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,564.34 : 447,473.03 = 235,133.95 : x
  2. Step 2: Convert to fraction form
    298,564.34/447,473.03 = 235,133.95/x
  3. Step 3: Cross multiply
    298,564.34x = 447,473.03 × 235,133.95
  4. Step 4: Simplify right side
    298,564.34x = 105,216,101,062.37
  5. Step 5: Solve for x
    x = 105,216,101,062.37/298,564.34
  6. Step 6: Final answer
    x = 352,406.79

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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.