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Finding the Fourth Proportional to 409,655.28, 614,482.44 and 129,172.50

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Solution

The fourth proportional to 409,655.28, 614,482.44 and 129,172.50 is: 193,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,655.28 : 614,482.44 = 129,172.50 : x
  2. Step 2: Convert to fraction form
    409,655.28/614,482.44 = 129,172.50/x
  3. Step 3: Cross multiply
    409,655.28x = 614,482.44 × 129,172.50
  4. Step 4: Simplify right side
    409,655.28x = 79,374,232,980.90
  5. Step 5: Solve for x
    x = 79,374,232,980.90/409,655.28
  6. Step 6: Final answer
    x = 193,758.60

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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.