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Finding the Fourth Proportional to 314,060.08, 470,911.32 and 214,341.08

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Solution

The fourth proportional to 314,060.08, 470,911.32 and 214,341.08 is: 321,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,060.08 : 470,911.32 = 214,341.08 : x
  2. Step 2: Convert to fraction form
    314,060.08/470,911.32 = 214,341.08/x
  3. Step 3: Cross multiply
    314,060.08x = 470,911.32 × 214,341.08
  4. Step 4: Simplify right side
    314,060.08x = 100,935,640,913.03
  5. Step 5: Solve for x
    x = 100,935,640,913.03/314,060.08
  6. Step 6: Final answer
    x = 321,389.59

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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.