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Finding the Fourth Proportional to 375,741.84, 518,577.12 and 232,548

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Solution

The fourth proportional to 375,741.84, 518,577.12 and 232,548 is: 320,949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,741.84 : 518,577.12 = 232,548 : x
  2. Step 2: Convert to fraction form
    375,741.84/518,577.12 = 232,548/x
  3. Step 3: Cross multiply
    375,741.84x = 518,577.12 × 232,548
  4. Step 4: Simplify right side
    375,741.84x = 120,594,072,101.76
  5. Step 5: Solve for x
    x = 120,594,072,101.76/375,741.84
  6. Step 6: Final answer
    x = 320,949.28

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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.