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Finding the Fourth Proportional to 314,016.58, 433,333.60 and 178,062.94

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Solution

The fourth proportional to 314,016.58, 433,333.60 and 178,062.94 is: 245,721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,016.58 : 433,333.60 = 178,062.94 : x
  2. Step 2: Convert to fraction form
    314,016.58/433,333.60 = 178,062.94/x
  3. Step 3: Cross multiply
    314,016.58x = 433,333.60 × 178,062.94
  4. Step 4: Simplify right side
    314,016.58x = 77,160,654,816.78
  5. Step 5: Solve for x
    x = 77,160,654,816.78/314,016.58
  6. Step 6: Final answer
    x = 245,721.59

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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.