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Finding the Fourth Proportional to 470,903.70, 706,669.64 and 171,384.20

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Solution

The fourth proportional to 470,903.70, 706,669.64 and 171,384.20 is: 257,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,903.70 : 706,669.64 = 171,384.20 : x
  2. Step 2: Convert to fraction form
    470,903.70/706,669.64 = 171,384.20/x
  3. Step 3: Cross multiply
    470,903.70x = 706,669.64 × 171,384.20
  4. Step 4: Simplify right side
    470,903.70x = 121,112,006,525.42
  5. Step 5: Solve for x
    x = 121,112,006,525.42/470,903.70
  6. Step 6: Final answer
    x = 257,190.60

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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.