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Finding the Fourth Proportional to 314,548.70, 434,089.49 and 178,595.30

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Solution

The fourth proportional to 314,548.70, 434,089.49 and 178,595.30 is: 246,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,548.70 : 434,089.49 = 178,595.30 : x
  2. Step 2: Convert to fraction form
    314,548.70/434,089.49 = 178,595.30/x
  3. Step 3: Cross multiply
    314,548.70x = 434,089.49 × 178,595.30
  4. Step 4: Simplify right side
    314,548.70x = 77,526,342,885.64
  5. Step 5: Solve for x
    x = 77,526,342,885.64/314,548.70
  6. Step 6: Final answer
    x = 246,468.49

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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.