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Finding the Fourth Proportional to 433,498.60, 650,247.90 and 314,612.20

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Solution

The fourth proportional to 433,498.60, 650,247.90 and 314,612.20 is: 471,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,498.60 : 650,247.90 = 314,612.20 : x
  2. Step 2: Convert to fraction form
    433,498.60/650,247.90 = 314,612.20/x
  3. Step 3: Cross multiply
    433,498.60x = 650,247.90 × 314,612.20
  4. Step 4: Simplify right side
    433,498.60x = 204,575,922,364.38
  5. Step 5: Solve for x
    x = 204,575,922,364.38/433,498.60
  6. Step 6: Final answer
    x = 471,918.30

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Similar ratio
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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.