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Finding the Fourth Proportional to 475,278.49, 713,007.65 and 190,991.17

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Solution

The fourth proportional to 475,278.49, 713,007.65 and 190,991.17 is: 286,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,278.49 : 713,007.65 = 190,991.17 : x
  2. Step 2: Convert to fraction form
    475,278.49/713,007.65 = 190,991.17/x
  3. Step 3: Cross multiply
    475,278.49x = 713,007.65 × 190,991.17
  4. Step 4: Simplify right side
    475,278.49x = 136,178,165,292.45
  5. Step 5: Solve for x
    x = 136,178,165,292.45/475,278.49
  6. Step 6: Final answer
    x = 286,522.89

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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.