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Finding the Fourth Proportional to 456,474.80, 684,712.20 and 456,474.80

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Solution

The fourth proportional to 456,474.80, 684,712.20 and 456,474.80 is: 684,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,474.80 : 684,712.20 = 456,474.80 : x
  2. Step 2: Convert to fraction form
    456,474.80/684,712.20 = 456,474.80/x
  3. Step 3: Cross multiply
    456,474.80x = 684,712.20 × 456,474.80
  4. Step 4: Simplify right side
    456,474.80x = 312,553,864,552.56
  5. Step 5: Solve for x
    x = 312,553,864,552.56/456,474.80
  6. Step 6: Final answer
    x = 684,712.20

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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.