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Finding the Fourth Proportional to 358,203.67, 493,981.74 and 229,182.95

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Solution

The fourth proportional to 358,203.67, 493,981.74 and 229,182.95 is: 316,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,203.67 : 493,981.74 = 229,182.95 : x
  2. Step 2: Convert to fraction form
    358,203.67/493,981.74 = 229,182.95/x
  3. Step 3: Cross multiply
    358,203.67x = 493,981.74 × 229,182.95
  4. Step 4: Simplify right side
    358,203.67x = 113,212,193,654.29
  5. Step 5: Solve for x
    x = 113,212,193,654.29/358,203.67
  6. Step 6: Final answer
    x = 316,055.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.