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Finding the Fourth Proportional to 376,494.16, 519,460.68 and 223,405.24

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Solution

The fourth proportional to 376,494.16, 519,460.68 and 223,405.24 is: 308,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,494.16 : 519,460.68 = 223,405.24 : x
  2. Step 2: Convert to fraction form
    376,494.16/519,460.68 = 223,405.24/x
  3. Step 3: Cross multiply
    376,494.16x = 519,460.68 × 223,405.24
  4. Step 4: Simplify right side
    376,494.16x = 116,050,237,885.96
  5. Step 5: Solve for x
    x = 116,050,237,885.96/376,494.16
  6. Step 6: Final answer
    x = 308,239.14

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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.