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Finding the Fourth Proportional to 302,874.32, 417,951.58 and 175,591.28

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Solution

The fourth proportional to 302,874.32, 417,951.58 and 175,591.28 is: 242,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,874.32 : 417,951.58 = 175,591.28 : x
  2. Step 2: Convert to fraction form
    302,874.32/417,951.58 = 175,591.28/x
  3. Step 3: Cross multiply
    302,874.32x = 417,951.58 × 175,591.28
  4. Step 4: Simplify right side
    302,874.32x = 73,388,652,910.22
  5. Step 5: Solve for x
    x = 73,388,652,910.22/302,874.32
  6. Step 6: Final answer
    x = 242,307.28

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1.5x scale

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.