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Finding the Fourth Proportional to 682,602.30, 1,023,903.45 and 416,881.80

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Solution

The fourth proportional to 682,602.30, 1,023,903.45 and 416,881.80 is: 625,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,602.30 : 1,023,903.45 = 416,881.80 : x
  2. Step 2: Convert to fraction form
    682,602.30/1,023,903.45 = 416,881.80/x
  3. Step 3: Cross multiply
    682,602.30x = 1,023,903.45 × 416,881.80
  4. Step 4: Simplify right side
    682,602.30x = 426,846,713,262.21
  5. Step 5: Solve for x
    x = 426,846,713,262.21/682,602.30
  6. Step 6: Final answer
    x = 625,322.70

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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.