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Finding the Fourth Proportional to 420,101.60, 630,152.40 and 354,491.60

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Solution

The fourth proportional to 420,101.60, 630,152.40 and 354,491.60 is: 531,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,101.60 : 630,152.40 = 354,491.60 : x
  2. Step 2: Convert to fraction form
    420,101.60/630,152.40 = 354,491.60/x
  3. Step 3: Cross multiply
    420,101.60x = 630,152.40 × 354,491.60
  4. Step 4: Simplify right side
    420,101.60x = 223,383,732,519.84
  5. Step 5: Solve for x
    x = 223,383,732,519.84/420,101.60
  6. Step 6: Final answer
    x = 531,737.40

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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.