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Finding the Fourth Proportional to 614,850.40, 922,405.20 and 259,681.60

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Solution

The fourth proportional to 614,850.40, 922,405.20 and 259,681.60 is: 389,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,850.40 : 922,405.20 = 259,681.60 : x
  2. Step 2: Convert to fraction form
    614,850.40/922,405.20 = 259,681.60/x
  3. Step 3: Cross multiply
    614,850.40x = 922,405.20 × 259,681.60
  4. Step 4: Simplify right side
    614,850.40x = 239,531,658,184.32
  5. Step 5: Solve for x
    x = 239,531,658,184.32/614,850.40
  6. Step 6: Final answer
    x = 389,577.14

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Why These Related Problems?

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