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Finding the Fourth Proportional to 470,984.20, 706,377.36 and 155,367.16

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Solution

The fourth proportional to 470,984.20, 706,377.36 and 155,367.16 is: 233,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,984.20 : 706,377.36 = 155,367.16 : x
  2. Step 2: Convert to fraction form
    470,984.20/706,377.36 = 155,367.16/x
  3. Step 3: Cross multiply
    470,984.20x = 706,377.36 × 155,367.16
  4. Step 4: Simplify right side
    470,984.20x = 109,747,844,311.50
  5. Step 5: Solve for x
    x = 109,747,844,311.50/470,984.20
  6. Step 6: Final answer
    x = 233,018.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.