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Finding the Fourth Proportional to 314,700.10, 434,310.33 and 178,758.34

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Solution

The fourth proportional to 314,700.10, 434,310.33 and 178,758.34 is: 246,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,700.10 : 434,310.33 = 178,758.34 : x
  2. Step 2: Convert to fraction form
    314,700.10/434,310.33 = 178,758.34/x
  3. Step 3: Cross multiply
    314,700.10x = 434,310.33 × 178,758.34
  4. Step 4: Simplify right side
    314,700.10x = 77,636,593,635.65
  5. Step 5: Solve for x
    x = 77,636,593,635.65/314,700.10
  6. Step 6: Final answer
    x = 246,700.25

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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.