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Finding the Fourth Proportional to 294,442.65, 406,298.52 and 165,354.93

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Solution

The fourth proportional to 294,442.65, 406,298.52 and 165,354.93 is: 228,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,442.65 : 406,298.52 = 165,354.93 : x
  2. Step 2: Convert to fraction form
    294,442.65/406,298.52 = 165,354.93/x
  3. Step 3: Cross multiply
    294,442.65x = 406,298.52 × 165,354.93
  4. Step 4: Simplify right side
    294,442.65x = 67,183,463,333.70
  5. Step 5: Solve for x
    x = 67,183,463,333.70/294,442.65
  6. Step 6: Final answer
    x = 228,171.64

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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.