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Finding the Fourth Proportional to 513,809.60, 770,848.80 and 198,276.80

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Solution

The fourth proportional to 513,809.60, 770,848.80 and 198,276.80 is: 297,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,809.60 : 770,848.80 = 198,276.80 : x
  2. Step 2: Convert to fraction form
    513,809.60/770,848.80 = 198,276.80/x
  3. Step 3: Cross multiply
    513,809.60x = 770,848.80 × 198,276.80
  4. Step 4: Simplify right side
    513,809.60x = 152,841,433,347.84
  5. Step 5: Solve for x
    x = 152,841,433,347.84/513,809.60
  6. Step 6: Final answer
    x = 297,467.06

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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.