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Finding the Fourth Proportional to 364,784.40, 546,917.40 and 165,200.40

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Solution

The fourth proportional to 364,784.40, 546,917.40 and 165,200.40 is: 247,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,784.40 : 546,917.40 = 165,200.40 : x
  2. Step 2: Convert to fraction form
    364,784.40/546,917.40 = 165,200.40/x
  3. Step 3: Cross multiply
    364,784.40x = 546,917.40 × 165,200.40
  4. Step 4: Simplify right side
    364,784.40x = 90,350,973,246.96
  5. Step 5: Solve for x
    x = 90,350,973,246.96/364,784.40
  6. Step 6: Final answer
    x = 247,683.22

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1.5x scale

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.