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Finding the Fourth Proportional to 472,639.84, 708,959.76 and 192,091.36

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Solution

The fourth proportional to 472,639.84, 708,959.76 and 192,091.36 is: 288,137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,639.84 : 708,959.76 = 192,091.36 : x
  2. Step 2: Convert to fraction form
    472,639.84/708,959.76 = 192,091.36/x
  3. Step 3: Cross multiply
    472,639.84x = 708,959.76 × 192,091.36
  4. Step 4: Simplify right side
    472,639.84x = 136,185,044,483.67
  5. Step 5: Solve for x
    x = 136,185,044,483.67/472,639.84
  6. Step 6: Final answer
    x = 288,137.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.