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Finding the Fourth Proportional to 854,106, 1,178,657.64 and 472,114.32

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Solution

The fourth proportional to 854,106, 1,178,657.64 and 472,114.32 is: 651,512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,106 : 1,178,657.64 = 472,114.32 : x
  2. Step 2: Convert to fraction form
    854,106/1,178,657.64 = 472,114.32/x
  3. Step 3: Cross multiply
    854,106x = 1,178,657.64 × 472,114.32
  4. Step 4: Simplify right side
    854,106x = 556,461,150,221.41
  5. Step 5: Solve for x
    x = 556,461,150,221.41/854,106
  6. Step 6: Final answer
    x = 651,512.99

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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.