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Finding the Fourth Proportional to 302,757.68, 417,805.32 and 175,507.04

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Solution

The fourth proportional to 302,757.68, 417,805.32 and 175,507.04 is: 242,199.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,757.68 : 417,805.32 = 175,507.04 : x
  2. Step 2: Convert to fraction form
    302,757.68/417,805.32 = 175,507.04/x
  3. Step 3: Cross multiply
    302,757.68x = 417,805.32 × 175,507.04
  4. Step 4: Simplify right side
    302,757.68x = 73,327,775,009.45
  5. Step 5: Solve for x
    x = 73,327,775,009.45/302,757.68
  6. Step 6: Final answer
    x = 242,199.55

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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.