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Finding the Fourth Proportional to 502,414.60, 753,621.90 and 446,427.40

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Solution

The fourth proportional to 502,414.60, 753,621.90 and 446,427.40 is: 669,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,414.60 : 753,621.90 = 446,427.40 : x
  2. Step 2: Convert to fraction form
    502,414.60/753,621.90 = 446,427.40/x
  3. Step 3: Cross multiply
    502,414.60x = 753,621.90 × 446,427.40
  4. Step 4: Simplify right side
    502,414.60x = 336,437,465,400.06
  5. Step 5: Solve for x
    x = 336,437,465,400.06/502,414.60
  6. Step 6: Final answer
    x = 669,641.10

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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.