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Finding the Fourth Proportional to 314,934.60, 472,401.90 and 213,895.20

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Solution

The fourth proportional to 314,934.60, 472,401.90 and 213,895.20 is: 320,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,934.60 : 472,401.90 = 213,895.20 : x
  2. Step 2: Convert to fraction form
    314,934.60/472,401.90 = 213,895.20/x
  3. Step 3: Cross multiply
    314,934.60x = 472,401.90 × 213,895.20
  4. Step 4: Simplify right side
    314,934.60x = 101,044,498,880.88
  5. Step 5: Solve for x
    x = 101,044,498,880.88/314,934.60
  6. Step 6: Final answer
    x = 320,842.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.