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Finding the Fourth Proportional to 410,197.84, 614,222.70 and 329,808.58

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Solution

The fourth proportional to 410,197.84, 614,222.70 and 329,808.58 is: 493,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,197.84 : 614,222.70 = 329,808.58 : x
  2. Step 2: Convert to fraction form
    410,197.84/614,222.70 = 329,808.58/x
  3. Step 3: Cross multiply
    410,197.84x = 614,222.70 × 329,808.58
  4. Step 4: Simplify right side
    410,197.84x = 202,575,913,718.43
  5. Step 5: Solve for x
    x = 202,575,913,718.43/410,197.84
  6. Step 6: Final answer
    x = 493,849.30

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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.