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Finding the Fourth Proportional to 228,335.40, 314,894.72 and 196,059.94

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Solution

The fourth proportional to 228,335.40, 314,894.72 and 196,059.94 is: 270,384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,335.40 : 314,894.72 = 196,059.94 : x
  2. Step 2: Convert to fraction form
    228,335.40/314,894.72 = 196,059.94/x
  3. Step 3: Cross multiply
    228,335.40x = 314,894.72 × 196,059.94
  4. Step 4: Simplify right side
    228,335.40x = 61,738,239,909.52
  5. Step 5: Solve for x
    x = 61,738,239,909.52/228,335.40
  6. Step 6: Final answer
    x = 270,384.00

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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.