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Finding the Fourth Proportional to 314,282.84, 433,733.46 and 178,340.12

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Solution

The fourth proportional to 314,282.84, 433,733.46 and 178,340.12 is: 246,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,282.84 : 433,733.46 = 178,340.12 : x
  2. Step 2: Convert to fraction form
    314,282.84/433,733.46 = 178,340.12/x
  3. Step 3: Cross multiply
    314,282.84x = 433,733.46 × 178,340.12
  4. Step 4: Simplify right side
    314,282.84x = 77,352,077,304.42
  5. Step 5: Solve for x
    x = 77,352,077,304.42/314,282.84
  6. Step 6: Final answer
    x = 246,122.50

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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.