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Finding the Fourth Proportional to 302,906.88, 418,011.84 and 175,656.42

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Solution

The fourth proportional to 302,906.88, 418,011.84 and 175,656.42 is: 242,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,906.88 : 418,011.84 = 175,656.42 : x
  2. Step 2: Convert to fraction form
    302,906.88/418,011.84 = 175,656.42/x
  3. Step 3: Cross multiply
    302,906.88x = 418,011.84 × 175,656.42
  4. Step 4: Simplify right side
    302,906.88x = 73,426,463,332.01
  5. Step 5: Solve for x
    x = 73,426,463,332.01/302,906.88
  6. Step 6: Final answer
    x = 242,406.06

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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.