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Finding the Fourth Proportional to 470,725.20, 706,055.40 and 150,872.40

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Solution

The fourth proportional to 470,725.20, 706,055.40 and 150,872.40 is: 226,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,725.20 : 706,055.40 = 150,872.40 : x
  2. Step 2: Convert to fraction form
    470,725.20/706,055.40 = 150,872.40/x
  3. Step 3: Cross multiply
    470,725.20x = 706,055.40 × 150,872.40
  4. Step 4: Simplify right side
    470,725.20x = 106,524,272,730.96
  5. Step 5: Solve for x
    x = 106,524,272,730.96/470,725.20
  6. Step 6: Final answer
    x = 226,298.22

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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.