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Finding the Fourth Proportional to 364,766.40, 546,890.40 and 165,182.40

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Solution

The fourth proportional to 364,766.40, 546,890.40 and 165,182.40 is: 247,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,766.40 : 546,890.40 = 165,182.40 : x
  2. Step 2: Convert to fraction form
    364,766.40/546,890.40 = 165,182.40/x
  3. Step 3: Cross multiply
    364,766.40x = 546,890.40 × 165,182.40
  4. Step 4: Simplify right side
    364,766.40x = 90,336,668,808.96
  5. Step 5: Solve for x
    x = 90,336,668,808.96/364,766.40
  6. Step 6: Final answer
    x = 247,656.22

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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.