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Finding the Fourth Proportional to 470,903.70, 705,928.34 and 171,172.58

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Solution

The fourth proportional to 470,903.70, 705,928.34 and 171,172.58 is: 256,603.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,903.70 : 705,928.34 = 171,172.58 : x
  2. Step 2: Convert to fraction form
    470,903.70/705,928.34 = 171,172.58/x
  3. Step 3: Cross multiply
    470,903.70x = 705,928.34 × 171,172.58
  4. Step 4: Simplify right side
    470,903.70x = 120,835,577,445.67
  5. Step 5: Solve for x
    x = 120,835,577,445.67/470,903.70
  6. Step 6: Final answer
    x = 256,603.58

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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.