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Finding the Fourth Proportional to 410,322.40, 614,869.20 and 347,653.60

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Solution

The fourth proportional to 410,322.40, 614,869.20 and 347,653.60 is: 520,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,322.40 : 614,869.20 = 347,653.60 : x
  2. Step 2: Convert to fraction form
    410,322.40/614,869.20 = 347,653.60/x
  3. Step 3: Cross multiply
    410,322.40x = 614,869.20 × 347,653.60
  4. Step 4: Simplify right side
    410,322.40x = 213,761,490,909.12
  5. Step 5: Solve for x
    x = 213,761,490,909.12/410,322.40
  6. Step 6: Final answer
    x = 520,959.84

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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.