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Finding the Fourth Proportional to 615,077.84, 922,770.36 and 171,842

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Solution

The fourth proportional to 615,077.84, 922,770.36 and 171,842 is: 257,805.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,077.84 : 922,770.36 = 171,842 : x
  2. Step 2: Convert to fraction form
    615,077.84/922,770.36 = 171,842/x
  3. Step 3: Cross multiply
    615,077.84x = 922,770.36 × 171,842
  4. Step 4: Simplify right side
    615,077.84x = 158,570,704,203.12
  5. Step 5: Solve for x
    x = 158,570,704,203.12/615,077.84
  6. Step 6: Final answer
    x = 257,805.91

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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.