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Finding the Fourth Proportional to 476,001.60, 713,564.80 and 205,961.12

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Solution

The fourth proportional to 476,001.60, 713,564.80 and 205,961.12 is: 308,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,001.60 : 713,564.80 = 205,961.12 : x
  2. Step 2: Convert to fraction form
    476,001.60/713,564.80 = 205,961.12/x
  3. Step 3: Cross multiply
    476,001.60x = 713,564.80 × 205,961.12
  4. Step 4: Simplify right side
    476,001.60x = 146,966,605,400.58
  5. Step 5: Solve for x
    x = 146,966,605,400.58/476,001.60
  6. Step 6: Final answer
    x = 308,752.33

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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.