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Finding the Fourth Proportional to 374,412.51, 516,617.60 and 213,264.03

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Solution

The fourth proportional to 374,412.51, 516,617.60 and 213,264.03 is: 294,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,412.51 : 516,617.60 = 213,264.03 : x
  2. Step 2: Convert to fraction form
    374,412.51/516,617.60 = 213,264.03/x
  3. Step 3: Cross multiply
    374,412.51x = 516,617.60 × 213,264.03
  4. Step 4: Simplify right side
    374,412.51x = 110,175,950,278.61
  5. Step 5: Solve for x
    x = 110,175,950,278.61/374,412.51
  6. Step 6: Final answer
    x = 294,263.54

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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.