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Finding the Fourth Proportional to 312,089.20, 468,133.80 and 289,970.80

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Solution

The fourth proportional to 312,089.20, 468,133.80 and 289,970.80 is: 434,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,089.20 : 468,133.80 = 289,970.80 : x
  2. Step 2: Convert to fraction form
    312,089.20/468,133.80 = 289,970.80/x
  3. Step 3: Cross multiply
    312,089.20x = 468,133.80 × 289,970.80
  4. Step 4: Simplify right side
    312,089.20x = 135,745,132,493.04
  5. Step 5: Solve for x
    x = 135,745,132,493.04/312,089.20
  6. Step 6: Final answer
    x = 434,956.20

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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.