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Finding the Fourth Proportional to 385,722.90, 578,666.97 and 196,209.63

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Solution

The fourth proportional to 385,722.90, 578,666.97 and 196,209.63 is: 294,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,722.90 : 578,666.97 = 196,209.63 : x
  2. Step 2: Convert to fraction form
    385,722.90/578,666.97 = 196,209.63/x
  3. Step 3: Cross multiply
    385,722.90x = 578,666.97 × 196,209.63
  4. Step 4: Simplify right side
    385,722.90x = 113,540,032,076.92
  5. Step 5: Solve for x
    x = 113,540,032,076.92/385,722.90
  6. Step 6: Final answer
    x = 294,356.47

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1.5x scale

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.