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Finding the Fourth Proportional to 314,493.36, 433,943.28 and 178,532.88

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Solution

The fourth proportional to 314,493.36, 433,943.28 and 178,532.88 is: 246,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,493.36 : 433,943.28 = 178,532.88 : x
  2. Step 2: Convert to fraction form
    314,493.36/433,943.28 = 178,532.88/x
  3. Step 3: Cross multiply
    314,493.36x = 433,943.28 × 178,532.88
  4. Step 4: Simplify right side
    314,493.36x = 77,473,143,535.05
  5. Step 5: Solve for x
    x = 77,473,143,535.05/314,493.36
  6. Step 6: Final answer
    x = 246,342.70

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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.