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Finding the Fourth Proportional to 442,201.60, 663,302.40 and 146,713.60

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Solution

The fourth proportional to 442,201.60, 663,302.40 and 146,713.60 is: 220,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,201.60 : 663,302.40 = 146,713.60 : x
  2. Step 2: Convert to fraction form
    442,201.60/663,302.40 = 146,713.60/x
  3. Step 3: Cross multiply
    442,201.60x = 663,302.40 × 146,713.60
  4. Step 4: Simplify right side
    442,201.60x = 97,315,482,992.64
  5. Step 5: Solve for x
    x = 97,315,482,992.64/442,201.60
  6. Step 6: Final answer
    x = 220,070.40

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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.