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Finding the Fourth Proportional to 511,223.94, 705,503.25 and 293,451.39

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Solution

The fourth proportional to 511,223.94, 705,503.25 and 293,451.39 is: 404,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,223.94 : 705,503.25 = 293,451.39 : x
  2. Step 2: Convert to fraction form
    511,223.94/705,503.25 = 293,451.39/x
  3. Step 3: Cross multiply
    511,223.94x = 705,503.25 × 293,451.39
  4. Step 4: Simplify right side
    511,223.94x = 207,030,909,362.02
  5. Step 5: Solve for x
    x = 207,030,909,362.02/511,223.94
  6. Step 6: Final answer
    x = 404,971.08

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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.