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Finding the Fourth Proportional to 854,093.82, 1,178,656.50 and 472,126.98

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Solution

The fourth proportional to 854,093.82, 1,178,656.50 and 472,126.98 is: 651,539.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,093.82 : 1,178,656.50 = 472,126.98 : x
  2. Step 2: Convert to fraction form
    854,093.82/1,178,656.50 = 472,126.98/x
  3. Step 3: Cross multiply
    854,093.82x = 1,178,656.50 × 472,126.98
  4. Step 4: Simplify right side
    854,093.82x = 556,475,533,802.37
  5. Step 5: Solve for x
    x = 556,475,533,802.37/854,093.82
  6. Step 6: Final answer
    x = 651,539.12

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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.