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Finding the Fourth Proportional to 854,065.80, 1,178,560.14 and 472,069.80

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Solution

The fourth proportional to 854,065.80, 1,178,560.14 and 472,069.80 is: 651,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,065.80 : 1,178,560.14 = 472,069.80 : x
  2. Step 2: Convert to fraction form
    854,065.80/1,178,560.14 = 472,069.80/x
  3. Step 3: Cross multiply
    854,065.80x = 1,178,560.14 × 472,069.80
  4. Step 4: Simplify right side
    854,065.80x = 556,362,649,577.77
  5. Step 5: Solve for x
    x = 556,362,649,577.77/854,065.80
  6. Step 6: Final answer
    x = 651,428.32

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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.