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Finding the Fourth Proportional to 280,092.58, 386,527.53 and 152,767.78

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Solution

The fourth proportional to 280,092.58, 386,527.53 and 152,767.78 is: 210,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,092.58 : 386,527.53 = 152,767.78 : x
  2. Step 2: Convert to fraction form
    280,092.58/386,527.53 = 152,767.78/x
  3. Step 3: Cross multiply
    280,092.58x = 386,527.53 × 152,767.78
  4. Step 4: Simplify right side
    280,092.58x = 59,048,952,666.98
  5. Step 5: Solve for x
    x = 59,048,952,666.98/280,092.58
  6. Step 6: Final answer
    x = 210,819.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.