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Finding the Fourth Proportional to 286,276.40, 429,414.60 and 160,305.20

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Solution

The fourth proportional to 286,276.40, 429,414.60 and 160,305.20 is: 240,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,276.40 : 429,414.60 = 160,305.20 : x
  2. Step 2: Convert to fraction form
    286,276.40/429,414.60 = 160,305.20/x
  3. Step 3: Cross multiply
    286,276.40x = 429,414.60 × 160,305.20
  4. Step 4: Simplify right side
    286,276.40x = 68,837,393,335.92
  5. Step 5: Solve for x
    x = 68,837,393,335.92/286,276.40
  6. Step 6: Final answer
    x = 240,457.80

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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.