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Finding the Fourth Proportional to 410,315.40, 614,858.70 and 347,646.60

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Solution

The fourth proportional to 410,315.40, 614,858.70 and 347,646.60 is: 520,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,315.40 : 614,858.70 = 347,646.60 : x
  2. Step 2: Convert to fraction form
    410,315.40/614,858.70 = 347,646.60/x
  3. Step 3: Cross multiply
    410,315.40x = 614,858.70 × 347,646.60
  4. Step 4: Simplify right side
    410,315.40x = 213,753,536,535.42
  5. Step 5: Solve for x
    x = 213,753,536,535.42/410,315.40
  6. Step 6: Final answer
    x = 520,949.34

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1.5x scale

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.