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Finding the Fourth Proportional to 314,281.84, 433,732.08 and 178,339.12

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Solution

The fourth proportional to 314,281.84, 433,732.08 and 178,339.12 is: 246,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,281.84 : 433,732.08 = 178,339.12 : x
  2. Step 2: Convert to fraction form
    314,281.84/433,732.08 = 178,339.12/x
  3. Step 3: Cross multiply
    314,281.84x = 433,732.08 × 178,339.12
  4. Step 4: Simplify right side
    314,281.84x = 77,351,397,462.97
  5. Step 5: Solve for x
    x = 77,351,397,462.97/314,281.84
  6. Step 6: Final answer
    x = 246,121.12

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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.