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Finding the Fourth Proportional to 374,482.49, 516,728.02 and 213,317.06

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Solution

The fourth proportional to 374,482.49, 516,728.02 and 213,317.06 is: 294,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,482.49 : 516,728.02 = 213,317.06 : x
  2. Step 2: Convert to fraction form
    374,482.49/516,728.02 = 213,317.06/x
  3. Step 3: Cross multiply
    374,482.49x = 516,728.02 × 213,317.06
  4. Step 4: Simplify right side
    374,482.49x = 110,226,902,046.02
  5. Step 5: Solve for x
    x = 110,226,902,046.02/374,482.49
  6. Step 6: Final answer
    x = 294,344.61

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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.