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Finding the Fourth Proportional to 471,261.60, 705,855.60 and 409,053.60

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Solution

The fourth proportional to 471,261.60, 705,855.60 and 409,053.60 is: 612,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,261.60 : 705,855.60 = 409,053.60 : x
  2. Step 2: Convert to fraction form
    471,261.60/705,855.60 = 409,053.60/x
  3. Step 3: Cross multiply
    471,261.60x = 705,855.60 × 409,053.60
  4. Step 4: Simplify right side
    471,261.60x = 288,732,774,260.16
  5. Step 5: Solve for x
    x = 288,732,774,260.16/471,261.60
  6. Step 6: Final answer
    x = 612,680.46

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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.