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Finding the Fourth Proportional to 313,182.38, 432,078.77 and 177,214.91

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Solution

The fourth proportional to 313,182.38, 432,078.77 and 177,214.91 is: 244,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,182.38 : 432,078.77 = 177,214.91 : x
  2. Step 2: Convert to fraction form
    313,182.38/432,078.77 = 177,214.91/x
  3. Step 3: Cross multiply
    313,182.38x = 432,078.77 × 177,214.91
  4. Step 4: Simplify right side
    313,182.38x = 76,570,798,621.10
  5. Step 5: Solve for x
    x = 76,570,798,621.10/313,182.38
  6. Step 6: Final answer
    x = 244,492.68

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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.