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Finding the Fourth Proportional to 286,055.20, 429,082.80 and 219,829.60

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Solution

The fourth proportional to 286,055.20, 429,082.80 and 219,829.60 is: 329,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,055.20 : 429,082.80 = 219,829.60 : x
  2. Step 2: Convert to fraction form
    286,055.20/429,082.80 = 219,829.60/x
  3. Step 3: Cross multiply
    286,055.20x = 429,082.80 × 219,829.60
  4. Step 4: Simplify right side
    286,055.20x = 94,325,100,290.88
  5. Step 5: Solve for x
    x = 94,325,100,290.88/286,055.20
  6. Step 6: Final answer
    x = 329,744.40

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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.