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Finding the Fourth Proportional to 286,280.80, 429,421.20 and 206,965.60

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Solution

The fourth proportional to 286,280.80, 429,421.20 and 206,965.60 is: 310,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,280.80 : 429,421.20 = 206,965.60 : x
  2. Step 2: Convert to fraction form
    286,280.80/429,421.20 = 206,965.60/x
  3. Step 3: Cross multiply
    286,280.80x = 429,421.20 × 206,965.60
  4. Step 4: Simplify right side
    286,280.80x = 88,875,416,310.72
  5. Step 5: Solve for x
    x = 88,875,416,310.72/286,280.80
  6. Step 6: Final answer
    x = 310,448.40

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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.