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Finding the Fourth Proportional to 302,886.30, 417,977.37 and 175,573.74

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Solution

The fourth proportional to 302,886.30, 417,977.37 and 175,573.74 is: 242,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,886.30 : 417,977.37 = 175,573.74 : x
  2. Step 2: Convert to fraction form
    302,886.30/417,977.37 = 175,573.74/x
  3. Step 3: Cross multiply
    302,886.30x = 417,977.37 × 175,573.74
  4. Step 4: Simplify right side
    302,886.30x = 73,385,850,086.26
  5. Step 5: Solve for x
    x = 73,385,850,086.26/302,886.30
  6. Step 6: Final answer
    x = 242,288.44

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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.