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Finding the Fourth Proportional to 465,280.80, 697,424.96 and 265,170.30

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Solution

The fourth proportional to 465,280.80, 697,424.96 and 265,170.30 is: 397,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,280.80 : 697,424.96 = 265,170.30 : x
  2. Step 2: Convert to fraction form
    465,280.80/697,424.96 = 265,170.30/x
  3. Step 3: Cross multiply
    465,280.80x = 697,424.96 × 265,170.30
  4. Step 4: Simplify right side
    465,280.80x = 184,936,385,870.69
  5. Step 5: Solve for x
    x = 184,936,385,870.69/465,280.80
  6. Step 6: Final answer
    x = 397,472.64

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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.