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Finding the Fourth Proportional to 375,756.84, 518,597.82 and 232,563

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Solution

The fourth proportional to 375,756.84, 518,597.82 and 232,563 is: 320,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,756.84 : 518,597.82 = 232,563 : x
  2. Step 2: Convert to fraction form
    375,756.84/518,597.82 = 232,563/x
  3. Step 3: Cross multiply
    375,756.84x = 518,597.82 × 232,563
  4. Step 4: Simplify right side
    375,756.84x = 120,606,664,812.66
  5. Step 5: Solve for x
    x = 120,606,664,812.66/375,756.84
  6. Step 6: Final answer
    x = 320,969.98

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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.