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Finding the Fourth Proportional to 470,803.80, 706,205.70 and 432,096.60

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Solution

The fourth proportional to 470,803.80, 706,205.70 and 432,096.60 is: 648,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,803.80 : 706,205.70 = 432,096.60 : x
  2. Step 2: Convert to fraction form
    470,803.80/706,205.70 = 432,096.60/x
  3. Step 3: Cross multiply
    470,803.80x = 706,205.70 × 432,096.60
  4. Step 4: Simplify right side
    470,803.80x = 305,149,081,870.62
  5. Step 5: Solve for x
    x = 305,149,081,870.62/470,803.80
  6. Step 6: Final answer
    x = 648,144.90

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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.