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Finding the Fourth Proportional to 642,405.80, 963,608.70 and 288,111.80

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Solution

The fourth proportional to 642,405.80, 963,608.70 and 288,111.80 is: 432,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,405.80 : 963,608.70 = 288,111.80 : x
  2. Step 2: Convert to fraction form
    642,405.80/963,608.70 = 288,111.80/x
  3. Step 3: Cross multiply
    642,405.80x = 963,608.70 × 288,111.80
  4. Step 4: Simplify right side
    642,405.80x = 277,627,037,052.66
  5. Step 5: Solve for x
    x = 277,627,037,052.66/642,405.80
  6. Step 6: Final answer
    x = 432,167.70

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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.