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Finding the Fourth Proportional to 280,009.80, 420,014.70 and 146,838.60

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Solution

The fourth proportional to 280,009.80, 420,014.70 and 146,838.60 is: 220,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,009.80 : 420,014.70 = 146,838.60 : x
  2. Step 2: Convert to fraction form
    280,009.80/420,014.70 = 146,838.60/x
  3. Step 3: Cross multiply
    280,009.80x = 420,014.70 × 146,838.60
  4. Step 4: Simplify right side
    280,009.80x = 61,674,370,527.42
  5. Step 5: Solve for x
    x = 61,674,370,527.42/280,009.80
  6. Step 6: Final answer
    x = 220,257.90

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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.