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Finding the Fourth Proportional to 470,281.67, 705,609.41 and 150,482.80

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Solution

The fourth proportional to 470,281.67, 705,609.41 and 150,482.80 is: 225,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,281.67 : 705,609.41 = 150,482.80 : x
  2. Step 2: Convert to fraction form
    470,281.67/705,609.41 = 150,482.80/x
  3. Step 3: Cross multiply
    470,281.67x = 705,609.41 × 150,482.80
  4. Step 4: Simplify right side
    470,281.67x = 106,182,079,723.15
  5. Step 5: Solve for x
    x = 106,182,079,723.15/470,281.67
  6. Step 6: Final answer
    x = 225,784.01

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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.