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Finding the Fourth Proportional to 509,677.94, 762,852.97 and 374,706.40

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Solution

The fourth proportional to 509,677.94, 762,852.97 and 374,706.40 is: 560,836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,677.94 : 762,852.97 = 374,706.40 : x
  2. Step 2: Convert to fraction form
    509,677.94/762,852.97 = 374,706.40/x
  3. Step 3: Cross multiply
    509,677.94x = 762,852.97 × 374,706.40
  4. Step 4: Simplify right side
    509,677.94x = 285,845,887,274.11
  5. Step 5: Solve for x
    x = 285,845,887,274.11/509,677.94
  6. Step 6: Final answer
    x = 560,836.29

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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.