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Finding the Fourth Proportional to 734,712.80, 1,102,069.20 and 314,808.80

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Solution

The fourth proportional to 734,712.80, 1,102,069.20 and 314,808.80 is: 472,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,712.80 : 1,102,069.20 = 314,808.80 : x
  2. Step 2: Convert to fraction form
    734,712.80/1,102,069.20 = 314,808.80/x
  3. Step 3: Cross multiply
    734,712.80x = 1,102,069.20 × 314,808.80
  4. Step 4: Simplify right side
    734,712.80x = 346,941,082,368.96
  5. Step 5: Solve for x
    x = 346,941,082,368.96/734,712.80
  6. Step 6: Final answer
    x = 472,213.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.