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Finding the Fourth Proportional to 314,109.93, 470,985.84 and 214,390.83

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Solution

The fourth proportional to 314,109.93, 470,985.84 and 214,390.83 is: 321,464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,109.93 : 470,985.84 = 214,390.83 : x
  2. Step 2: Convert to fraction form
    314,109.93/470,985.84 = 214,390.83/x
  3. Step 3: Cross multiply
    314,109.93x = 470,985.84 × 214,390.83
  4. Step 4: Simplify right side
    314,109.93x = 100,975,045,155.85
  5. Step 5: Solve for x
    x = 100,975,045,155.85/314,109.93
  6. Step 6: Final answer
    x = 321,464.03

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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.