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Finding the Fourth Proportional to 314,772.41, 434,384.56 and 171,532.46

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Solution

The fourth proportional to 314,772.41, 434,384.56 and 171,532.46 is: 236,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,772.41 : 434,384.56 = 171,532.46 : x
  2. Step 2: Convert to fraction form
    314,772.41/434,384.56 = 171,532.46/x
  3. Step 3: Cross multiply
    314,772.41x = 434,384.56 × 171,532.46
  4. Step 4: Simplify right side
    314,772.41x = 74,511,053,463.19
  5. Step 5: Solve for x
    x = 74,511,053,463.19/314,772.41
  6. Step 6: Final answer
    x = 236,714.05

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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.