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Finding the Fourth Proportional to 508,464.42, 701,689.08 and 293,623.26

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Solution

The fourth proportional to 508,464.42, 701,689.08 and 293,623.26 is: 405,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,464.42 : 701,689.08 = 293,623.26 : x
  2. Step 2: Convert to fraction form
    508,464.42/701,689.08 = 293,623.26/x
  3. Step 3: Cross multiply
    508,464.42x = 701,689.08 × 293,623.26
  4. Step 4: Simplify right side
    508,464.42x = 206,032,235,176.00
  5. Step 5: Solve for x
    x = 206,032,235,176.00/508,464.42
  6. Step 6: Final answer
    x = 405,204.82

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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.