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Finding the Fourth Proportional to 314,727.84, 434,329.56 and 171,493.92

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Solution

The fourth proportional to 314,727.84, 434,329.56 and 171,493.92 is: 236,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,727.84 : 434,329.56 = 171,493.92 : x
  2. Step 2: Convert to fraction form
    314,727.84/434,329.56 = 171,493.92/x
  3. Step 3: Cross multiply
    314,727.84x = 434,329.56 × 171,493.92
  4. Step 4: Simplify right side
    314,727.84x = 74,484,878,816.28
  5. Step 5: Solve for x
    x = 74,484,878,816.28/314,727.84
  6. Step 6: Final answer
    x = 236,664.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.