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Finding the Fourth Proportional to 470,903.33, 705,927.78 and 171,172.21

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Solution

The fourth proportional to 470,903.33, 705,927.78 and 171,172.21 is: 256,603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,903.33 : 705,927.78 = 171,172.21 : x
  2. Step 2: Convert to fraction form
    470,903.33/705,927.78 = 171,172.21/x
  3. Step 3: Cross multiply
    470,903.33x = 705,927.78 × 171,172.21
  4. Step 4: Simplify right side
    470,903.33x = 120,835,216,438.17
  5. Step 5: Solve for x
    x = 120,835,216,438.17/470,903.33
  6. Step 6: Final answer
    x = 256,603.02

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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.