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Finding the Fourth Proportional to 384,211.02, 530,189.64 and 214,456.08

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Solution

The fourth proportional to 384,211.02, 530,189.64 and 214,456.08 is: 295,937.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,211.02 : 530,189.64 = 214,456.08 : x
  2. Step 2: Convert to fraction form
    384,211.02/530,189.64 = 214,456.08/x
  3. Step 3: Cross multiply
    384,211.02x = 530,189.64 × 214,456.08
  4. Step 4: Simplify right side
    384,211.02x = 113,702,391,851.01
  5. Step 5: Solve for x
    x = 113,702,391,851.01/384,211.02
  6. Step 6: Final answer
    x = 295,937.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.