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Finding the Fourth Proportional to 706,493.37, 974,618.01 and 419,810.43

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Solution

The fourth proportional to 706,493.37, 974,618.01 and 419,810.43 is: 579,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,493.37 : 974,618.01 = 419,810.43 : x
  2. Step 2: Convert to fraction form
    706,493.37/974,618.01 = 419,810.43/x
  3. Step 3: Cross multiply
    706,493.37x = 974,618.01 × 419,810.43
  4. Step 4: Simplify right side
    706,493.37x = 409,154,805,863.84
  5. Step 5: Solve for x
    x = 409,154,805,863.84/706,493.37
  6. Step 6: Final answer
    x = 579,134.67

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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.