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Finding the Fourth Proportional to 462,693.60, 694,234.80 and 252,482.40

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Solution

The fourth proportional to 462,693.60, 694,234.80 and 252,482.40 is: 378,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,693.60 : 694,234.80 = 252,482.40 : x
  2. Step 2: Convert to fraction form
    462,693.60/694,234.80 = 252,482.40/x
  3. Step 3: Cross multiply
    462,693.60x = 694,234.80 × 252,482.40
  4. Step 4: Simplify right side
    462,693.60x = 175,282,068,467.52
  5. Step 5: Solve for x
    x = 175,282,068,467.52/462,693.60
  6. Step 6: Final answer
    x = 378,829.68

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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.