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Finding the Fourth Proportional to 384,066.36, 530,012.16 and 214,300.89

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Solution

The fourth proportional to 384,066.36, 530,012.16 and 214,300.89 is: 295,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,066.36 : 530,012.16 = 214,300.89 : x
  2. Step 2: Convert to fraction form
    384,066.36/530,012.16 = 214,300.89/x
  3. Step 3: Cross multiply
    384,066.36x = 530,012.16 × 214,300.89
  4. Step 4: Simplify right side
    384,066.36x = 113,582,077,598.82
  5. Step 5: Solve for x
    x = 113,582,077,598.82/384,066.36
  6. Step 6: Final answer
    x = 295,735.55

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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.