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Finding the Fourth Proportional to 314,072.64, 433,424.52 and 170,838.72

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Solution

The fourth proportional to 314,072.64, 433,424.52 and 170,838.72 is: 235,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,072.64 : 433,424.52 = 170,838.72 : x
  2. Step 2: Convert to fraction form
    314,072.64/433,424.52 = 170,838.72/x
  3. Step 3: Cross multiply
    314,072.64x = 433,424.52 × 170,838.72
  4. Step 4: Simplify right side
    314,072.64x = 74,045,690,213.41
  5. Step 5: Solve for x
    x = 74,045,690,213.41/314,072.64
  6. Step 6: Final answer
    x = 235,759.76

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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.