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Finding the Fourth Proportional to 543,966.16, 815,924.32 and 189,007.96

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Solution

The fourth proportional to 543,966.16, 815,924.32 and 189,007.96 is: 283,503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,966.16 : 815,924.32 = 189,007.96 : x
  2. Step 2: Convert to fraction form
    543,966.16/815,924.32 = 189,007.96/x
  3. Step 3: Cross multiply
    543,966.16x = 815,924.32 × 189,007.96
  4. Step 4: Simplify right side
    543,966.16x = 154,216,191,237.59
  5. Step 5: Solve for x
    x = 154,216,191,237.59/543,966.16
  6. Step 6: Final answer
    x = 283,503.28

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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.