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Finding the Fourth Proportional to 286,277.20, 429,415.80 and 260,033.20

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Solution

The fourth proportional to 286,277.20, 429,415.80 and 260,033.20 is: 390,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,277.20 : 429,415.80 = 260,033.20 : x
  2. Step 2: Convert to fraction form
    286,277.20/429,415.80 = 260,033.20/x
  3. Step 3: Cross multiply
    286,277.20x = 429,415.80 × 260,033.20
  4. Step 4: Simplify right side
    286,277.20x = 111,662,364,604.56
  5. Step 5: Solve for x
    x = 111,662,364,604.56/286,277.20
  6. Step 6: Final answer
    x = 390,049.80

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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.