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Finding the Fourth Proportional to 470,917.80, 706,376.70 and 329,200.20

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Solution

The fourth proportional to 470,917.80, 706,376.70 and 329,200.20 is: 493,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,917.80 : 706,376.70 = 329,200.20 : x
  2. Step 2: Convert to fraction form
    470,917.80/706,376.70 = 329,200.20/x
  3. Step 3: Cross multiply
    470,917.80x = 706,376.70 × 329,200.20
  4. Step 4: Simplify right side
    470,917.80x = 232,539,350,915.34
  5. Step 5: Solve for x
    x = 232,539,350,915.34/470,917.80
  6. Step 6: Final answer
    x = 493,800.30

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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.