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Finding the Fourth Proportional to 543,809.60, 815,829.60 and 164,699.20

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Solution

The fourth proportional to 543,809.60, 815,829.60 and 164,699.20 is: 247,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,809.60 : 815,829.60 = 164,699.20 : x
  2. Step 2: Convert to fraction form
    543,809.60/815,829.60 = 164,699.20/x
  3. Step 3: Cross multiply
    543,809.60x = 815,829.60 × 164,699.20
  4. Step 4: Simplify right side
    543,809.60x = 134,366,482,456.32
  5. Step 5: Solve for x
    x = 134,366,482,456.32/543,809.60
  6. Step 6: Final answer
    x = 247,083.69

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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.