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Finding the Fourth Proportional to 502,106.67, 692,912.10 and 275,752.17

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Solution

The fourth proportional to 502,106.67, 692,912.10 and 275,752.17 is: 380,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,106.67 : 692,912.10 = 275,752.17 : x
  2. Step 2: Convert to fraction form
    502,106.67/692,912.10 = 275,752.17/x
  3. Step 3: Cross multiply
    502,106.67x = 692,912.10 × 275,752.17
  4. Step 4: Simplify right side
    502,106.67x = 191,072,015,194.26
  5. Step 5: Solve for x
    x = 191,072,015,194.26/502,106.67
  6. Step 6: Final answer
    x = 380,540.68

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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.