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Finding the Fourth Proportional to 497,973.34, 687,047.43 and 294,096.42

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Solution

The fourth proportional to 497,973.34, 687,047.43 and 294,096.42 is: 405,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,973.34 : 687,047.43 = 294,096.42 : x
  2. Step 2: Convert to fraction form
    497,973.34/687,047.43 = 294,096.42/x
  3. Step 3: Cross multiply
    497,973.34x = 687,047.43 × 294,096.42
  4. Step 4: Simplify right side
    497,973.34x = 202,058,184,627.48
  5. Step 5: Solve for x
    x = 202,058,184,627.48/497,973.34
  6. Step 6: Final answer
    x = 405,761.05

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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.