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Finding the Fourth Proportional to 470,259, 705,415.23 and 150,438.96

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Solution

The fourth proportional to 470,259, 705,415.23 and 150,438.96 is: 225,666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,259 : 705,415.23 = 150,438.96 : x
  2. Step 2: Convert to fraction form
    470,259/705,415.23 = 150,438.96/x
  3. Step 3: Cross multiply
    470,259x = 705,415.23 × 150,438.96
  4. Step 4: Simplify right side
    470,259x = 106,121,933,569.36
  5. Step 5: Solve for x
    x = 106,121,933,569.36/470,259
  6. Step 6: Final answer
    x = 225,666.99

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1.5x scale

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.