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Finding the Fourth Proportional to 470,165.63, 705,246.90 and 170,645.81

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Solution

The fourth proportional to 470,165.63, 705,246.90 and 170,645.81 is: 255,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,165.63 : 705,246.90 = 170,645.81 : x
  2. Step 2: Convert to fraction form
    470,165.63/705,246.90 = 170,645.81/x
  3. Step 3: Cross multiply
    470,165.63x = 705,246.90 × 170,645.81
  4. Step 4: Simplify right side
    470,165.63x = 120,347,424,974.26
  5. Step 5: Solve for x
    x = 120,347,424,974.26/470,165.63
  6. Step 6: Final answer
    x = 255,968.15

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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.