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Finding the Fourth Proportional to 615,078.84, 922,771.86 and 171,843

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Solution

The fourth proportional to 615,078.84, 922,771.86 and 171,843 is: 257,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,078.84 : 922,771.86 = 171,843 : x
  2. Step 2: Convert to fraction form
    615,078.84/922,771.86 = 171,843/x
  3. Step 3: Cross multiply
    615,078.84x = 922,771.86 × 171,843
  4. Step 4: Simplify right side
    615,078.84x = 158,571,884,737.98
  5. Step 5: Solve for x
    x = 158,571,884,737.98/615,078.84
  6. Step 6: Final answer
    x = 257,807.41

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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.