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Finding the Fourth Proportional to 709,815.20, 1,064,722.80 and 509,712.80

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Solution

The fourth proportional to 709,815.20, 1,064,722.80 and 509,712.80 is: 764,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,815.20 : 1,064,722.80 = 509,712.80 : x
  2. Step 2: Convert to fraction form
    709,815.20/1,064,722.80 = 509,712.80/x
  3. Step 3: Cross multiply
    709,815.20x = 1,064,722.80 × 509,712.80
  4. Step 4: Simplify right side
    709,815.20x = 542,702,839,611.84
  5. Step 5: Solve for x
    x = 542,702,839,611.84/709,815.20
  6. Step 6: Final answer
    x = 764,569.20

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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.