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Finding the Fourth Proportional to 302,904.72, 418,010.22 and 175,655.88

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Solution

The fourth proportional to 302,904.72, 418,010.22 and 175,655.88 is: 242,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,904.72 : 418,010.22 = 175,655.88 : x
  2. Step 2: Convert to fraction form
    302,904.72/418,010.22 = 175,655.88/x
  3. Step 3: Cross multiply
    302,904.72x = 418,010.22 × 175,655.88
  4. Step 4: Simplify right side
    302,904.72x = 73,425,953,043.09
  5. Step 5: Solve for x
    x = 73,425,953,043.09/302,904.72
  6. Step 6: Final answer
    x = 242,406.10

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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.