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Finding the Fourth Proportional to 497,188.54, 686,087.85 and 293,192.67

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Solution

The fourth proportional to 497,188.54, 686,087.85 and 293,192.67 is: 404,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,188.54 : 686,087.85 = 293,192.67 : x
  2. Step 2: Convert to fraction form
    497,188.54/686,087.85 = 293,192.67/x
  3. Step 3: Cross multiply
    497,188.54x = 686,087.85 × 293,192.67
  4. Step 4: Simplify right side
    497,188.54x = 201,155,928,596.06
  5. Step 5: Solve for x
    x = 201,155,928,596.06/497,188.54
  6. Step 6: Final answer
    x = 404,586.82

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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.