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Finding the Fourth Proportional to 294,443.65, 406,299.90 and 165,355.93

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Solution

The fourth proportional to 294,443.65, 406,299.90 and 165,355.93 is: 228,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,443.65 : 406,299.90 = 165,355.93 : x
  2. Step 2: Convert to fraction form
    294,443.65/406,299.90 = 165,355.93/x
  3. Step 3: Cross multiply
    294,443.65x = 406,299.90 × 165,355.93
  4. Step 4: Simplify right side
    294,443.65x = 67,184,097,823.41
  5. Step 5: Solve for x
    x = 67,184,097,823.41/294,443.65
  6. Step 6: Final answer
    x = 228,173.02

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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.