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Finding the Fourth Proportional to 460,221.60, 689,684.40 and 365,613.60

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Solution

The fourth proportional to 460,221.60, 689,684.40 and 365,613.60 is: 547,905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,221.60 : 689,684.40 = 365,613.60 : x
  2. Step 2: Convert to fraction form
    460,221.60/689,684.40 = 365,613.60/x
  3. Step 3: Cross multiply
    460,221.60x = 689,684.40 × 365,613.60
  4. Step 4: Simplify right side
    460,221.60x = 252,157,996,347.84
  5. Step 5: Solve for x
    x = 252,157,996,347.84/460,221.60
  6. Step 6: Final answer
    x = 547,905.61

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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.