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Finding the Fourth Proportional to 409,810.70, 614,716.05 and 344,856.80

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Solution

The fourth proportional to 409,810.70, 614,716.05 and 344,856.80 is: 517,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,810.70 : 614,716.05 = 344,856.80 : x
  2. Step 2: Convert to fraction form
    409,810.70/614,716.05 = 344,856.80/x
  3. Step 3: Cross multiply
    409,810.70x = 614,716.05 × 344,856.80
  4. Step 4: Simplify right side
    409,810.70x = 211,989,009,911.64
  5. Step 5: Solve for x
    x = 211,989,009,911.64/409,810.70
  6. Step 6: Final answer
    x = 517,285.20

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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.