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Finding the Fourth Proportional to 470,099.32, 705,429.16 and 170,603.30

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Solution

The fourth proportional to 470,099.32, 705,429.16 and 170,603.30 is: 256,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,099.32 : 705,429.16 = 170,603.30 : x
  2. Step 2: Convert to fraction form
    470,099.32/705,429.16 = 170,603.30/x
  3. Step 3: Cross multiply
    470,099.32x = 705,429.16 × 170,603.30
  4. Step 4: Simplify right side
    470,099.32x = 120,348,542,612.23
  5. Step 5: Solve for x
    x = 120,348,542,612.23/470,099.32
  6. Step 6: Final answer
    x = 256,006.63

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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.