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Finding the Fourth Proportional to 286,807.20, 430,210.80 and 174,832.80

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Solution

The fourth proportional to 286,807.20, 430,210.80 and 174,832.80 is: 262,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,807.20 : 430,210.80 = 174,832.80 : x
  2. Step 2: Convert to fraction form
    286,807.20/430,210.80 = 174,832.80/x
  3. Step 3: Cross multiply
    286,807.20x = 430,210.80 × 174,832.80
  4. Step 4: Simplify right side
    286,807.20x = 75,214,958,754.24
  5. Step 5: Solve for x
    x = 75,214,958,754.24/286,807.20
  6. Step 6: Final answer
    x = 262,249.20

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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.