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Finding the Fourth Proportional to 470,726.80, 706,090.20 and 329,009.20

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Solution

The fourth proportional to 470,726.80, 706,090.20 and 329,009.20 is: 493,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,726.80 : 706,090.20 = 329,009.20 : x
  2. Step 2: Convert to fraction form
    470,726.80/706,090.20 = 329,009.20/x
  3. Step 3: Cross multiply
    470,726.80x = 706,090.20 × 329,009.20
  4. Step 4: Simplify right side
    470,726.80x = 232,310,171,829.84
  5. Step 5: Solve for x
    x = 232,310,171,829.84/470,726.80
  6. Step 6: Final answer
    x = 493,513.80

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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.