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Finding the Fourth Proportional to 505,536.37, 697,319.85 and 384,412.11

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Solution

The fourth proportional to 505,536.37, 697,319.85 and 384,412.11 is: 530,245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,536.37 : 697,319.85 = 384,412.11 : x
  2. Step 2: Convert to fraction form
    505,536.37/697,319.85 = 384,412.11/x
  3. Step 3: Cross multiply
    505,536.37x = 697,319.85 × 384,412.11
  4. Step 4: Simplify right side
    505,536.37x = 268,058,194,883.38
  5. Step 5: Solve for x
    x = 268,058,194,883.38/505,536.37
  6. Step 6: Final answer
    x = 530,245.12

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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.