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Finding the Fourth Proportional to 502,776.66, 694,055.46 and 298,893.60

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Solution

The fourth proportional to 502,776.66, 694,055.46 and 298,893.60 is: 412,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,776.66 : 694,055.46 = 298,893.60 : x
  2. Step 2: Convert to fraction form
    502,776.66/694,055.46 = 298,893.60/x
  3. Step 3: Cross multiply
    502,776.66x = 694,055.46 × 298,893.60
  4. Step 4: Simplify right side
    502,776.66x = 207,448,735,039.06
  5. Step 5: Solve for x
    x = 207,448,735,039.06/502,776.66
  6. Step 6: Final answer
    x = 412,606.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.