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Finding the Fourth Proportional to 508,101.06, 701,128.94 and 293,310.32

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Solution

The fourth proportional to 508,101.06, 701,128.94 and 293,310.32 is: 404,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,101.06 : 701,128.94 = 293,310.32 : x
  2. Step 2: Convert to fraction form
    508,101.06/701,128.94 = 293,310.32/x
  3. Step 3: Cross multiply
    508,101.06x = 701,128.94 × 293,310.32
  4. Step 4: Simplify right side
    508,101.06x = 205,648,354,038.93
  5. Step 5: Solve for x
    x = 205,648,354,038.93/508,101.06
  6. Step 6: Final answer
    x = 404,739.08

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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.