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Finding the Fourth Proportional to 375,345.84, 517,985.64 and 214,197.68

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Solution

The fourth proportional to 375,345.84, 517,985.64 and 214,197.68 is: 295,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,345.84 : 517,985.64 = 214,197.68 : x
  2. Step 2: Convert to fraction form
    375,345.84/517,985.64 = 214,197.68/x
  3. Step 3: Cross multiply
    375,345.84x = 517,985.64 × 214,197.68
  4. Step 4: Simplify right side
    375,345.84x = 110,951,322,361.32
  5. Step 5: Solve for x
    x = 110,951,322,361.32/375,345.84
  6. Step 6: Final answer
    x = 295,597.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.