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Finding the Fourth Proportional to 470,050.88, 705,068.30 and 150,200.43

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Solution

The fourth proportional to 470,050.88, 705,068.30 and 150,200.43 is: 225,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,050.88 : 705,068.30 = 150,200.43 : x
  2. Step 2: Convert to fraction form
    470,050.88/705,068.30 = 150,200.43/x
  3. Step 3: Cross multiply
    470,050.88x = 705,068.30 × 150,200.43
  4. Step 4: Simplify right side
    470,050.88x = 105,901,558,725.99
  5. Step 5: Solve for x
    x = 105,901,558,725.99/470,050.88
  6. Step 6: Final answer
    x = 225,298.07

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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.