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Finding the Fourth Proportional to 650,613.26, 974,159.34 and 460,289.58

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Solution

The fourth proportional to 650,613.26, 974,159.34 and 460,289.58 is: 689,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,613.26 : 974,159.34 = 460,289.58 : x
  2. Step 2: Convert to fraction form
    650,613.26/974,159.34 = 460,289.58/x
  3. Step 3: Cross multiply
    650,613.26x = 974,159.34 × 460,289.58
  4. Step 4: Simplify right side
    650,613.26x = 448,395,393,461.68
  5. Step 5: Solve for x
    x = 448,395,393,461.68/650,613.26
  6. Step 6: Final answer
    x = 689,188.84

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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.