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Finding the Fourth Proportional to 280,007.80, 420,011.70 and 201,275.80

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Solution

The fourth proportional to 280,007.80, 420,011.70 and 201,275.80 is: 301,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,007.80 : 420,011.70 = 201,275.80 : x
  2. Step 2: Convert to fraction form
    280,007.80/420,011.70 = 201,275.80/x
  3. Step 3: Cross multiply
    280,007.80x = 420,011.70 × 201,275.80
  4. Step 4: Simplify right side
    280,007.80x = 84,538,190,926.86
  5. Step 5: Solve for x
    x = 84,538,190,926.86/280,007.80
  6. Step 6: Final answer
    x = 301,913.70

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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.