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Finding the Fourth Proportional to 470,195.40, 705,293.10 and 233,999.40

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Solution

The fourth proportional to 470,195.40, 705,293.10 and 233,999.40 is: 350,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,195.40 : 705,293.10 = 233,999.40 : x
  2. Step 2: Convert to fraction form
    470,195.40/705,293.10 = 233,999.40/x
  3. Step 3: Cross multiply
    470,195.40x = 705,293.10 × 233,999.40
  4. Step 4: Simplify right side
    470,195.40x = 165,038,162,224.14
  5. Step 5: Solve for x
    x = 165,038,162,224.14/470,195.40
  6. Step 6: Final answer
    x = 350,999.10

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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.