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Finding the Fourth Proportional to 442,683.44, 610,901.88 and 241,478

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Solution

The fourth proportional to 442,683.44, 610,901.88 and 241,478 is: 333,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,683.44 : 610,901.88 = 241,478 : x
  2. Step 2: Convert to fraction form
    442,683.44/610,901.88 = 241,478/x
  3. Step 3: Cross multiply
    442,683.44x = 610,901.88 × 241,478
  4. Step 4: Simplify right side
    442,683.44x = 147,519,364,178.64
  5. Step 5: Solve for x
    x = 147,519,364,178.64/442,683.44
  6. Step 6: Final answer
    x = 333,238.95

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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.