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Finding the Fourth Proportional to 456,006.80, 684,010.20 and 422,829.20

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Solution

The fourth proportional to 456,006.80, 684,010.20 and 422,829.20 is: 634,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,006.80 : 684,010.20 = 422,829.20 : x
  2. Step 2: Convert to fraction form
    456,006.80/684,010.20 = 422,829.20/x
  3. Step 3: Cross multiply
    456,006.80x = 684,010.20 × 422,829.20
  4. Step 4: Simplify right side
    456,006.80x = 289,219,485,657.84
  5. Step 5: Solve for x
    x = 289,219,485,657.84/456,006.80
  6. Step 6: Final answer
    x = 634,243.80

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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.