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Finding the Fourth Proportional to 457,662.93, 631,871.29 and 294,392.45

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Solution

The fourth proportional to 457,662.93, 631,871.29 and 294,392.45 is: 406,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,662.93 : 631,871.29 = 294,392.45 : x
  2. Step 2: Convert to fraction form
    457,662.93/631,871.29 = 294,392.45/x
  3. Step 3: Cross multiply
    457,662.93x = 631,871.29 × 294,392.45
  4. Step 4: Simplify right side
    457,662.93x = 186,018,134,356.40
  5. Step 5: Solve for x
    x = 186,018,134,356.40/457,662.93
  6. Step 6: Final answer
    x = 406,452.26

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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.