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Finding the Fourth Proportional to 615,022.80, 922,534.20 and 283,246.80

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Solution

The fourth proportional to 615,022.80, 922,534.20 and 283,246.80 is: 424,870.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,022.80 : 922,534.20 = 283,246.80 : x
  2. Step 2: Convert to fraction form
    615,022.80/922,534.20 = 283,246.80/x
  3. Step 3: Cross multiply
    615,022.80x = 922,534.20 × 283,246.80
  4. Step 4: Simplify right side
    615,022.80x = 261,304,860,040.56
  5. Step 5: Solve for x
    x = 261,304,860,040.56/615,022.80
  6. Step 6: Final answer
    x = 424,870.20

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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.