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Finding the Fourth Proportional to 647,782.90, 971,639.28 and 198,505.06

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Solution

The fourth proportional to 647,782.90, 971,639.28 and 198,505.06 is: 297,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,782.90 : 971,639.28 = 198,505.06 : x
  2. Step 2: Convert to fraction form
    647,782.90/971,639.28 = 198,505.06/x
  3. Step 3: Cross multiply
    647,782.90x = 971,639.28 × 198,505.06
  4. Step 4: Simplify right side
    647,782.90x = 192,875,313,574.76
  5. Step 5: Solve for x
    x = 192,875,313,574.76/647,782.90
  6. Step 6: Final answer
    x = 297,746.84

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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.