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Finding the Fourth Proportional to 502,409.60, 753,614.40 and 446,422.40

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Solution

The fourth proportional to 502,409.60, 753,614.40 and 446,422.40 is: 669,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,409.60 : 753,614.40 = 446,422.40 : x
  2. Step 2: Convert to fraction form
    502,409.60/753,614.40 = 446,422.40/x
  3. Step 3: Cross multiply
    502,409.60x = 753,614.40 × 446,422.40
  4. Step 4: Simplify right side
    502,409.60x = 336,430,349,122.56
  5. Step 5: Solve for x
    x = 336,430,349,122.56/502,409.60
  6. Step 6: Final answer
    x = 669,633.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.