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Finding the Fourth Proportional to 314,031.35, 470,868.62 and 214,312.34

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Solution

The fourth proportional to 314,031.35, 470,868.62 and 214,312.34 is: 321,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,031.35 : 470,868.62 = 214,312.34 : x
  2. Step 2: Convert to fraction form
    314,031.35/470,868.62 = 214,312.34/x
  3. Step 3: Cross multiply
    314,031.35x = 470,868.62 × 214,312.34
  4. Step 4: Simplify right side
    314,031.35x = 100,912,952,358.87
  5. Step 5: Solve for x
    x = 100,912,952,358.87/314,031.35
  6. Step 6: Final answer
    x = 321,346.75

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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.