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Finding the Fourth Proportional to 854,185, 1,178,672.92 and 472,159.84

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Solution

The fourth proportional to 854,185, 1,178,672.92 and 472,159.84 is: 651,523.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,185 : 1,178,672.92 = 472,159.84 : x
  2. Step 2: Convert to fraction form
    854,185/1,178,672.92 = 472,159.84/x
  3. Step 3: Cross multiply
    854,185x = 1,178,672.92 × 472,159.84
  4. Step 4: Simplify right side
    854,185x = 556,522,017,319.53
  5. Step 5: Solve for x
    x = 556,522,017,319.53/854,185
  6. Step 6: Final answer
    x = 651,523.99

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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.