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Finding the Fourth Proportional to 286,800.20, 430,200.30 and 174,825.80

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Solution

The fourth proportional to 286,800.20, 430,200.30 and 174,825.80 is: 262,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,800.20 : 430,200.30 = 174,825.80 : x
  2. Step 2: Convert to fraction form
    286,800.20/430,200.30 = 174,825.80/x
  3. Step 3: Cross multiply
    286,800.20x = 430,200.30 × 174,825.80
  4. Step 4: Simplify right side
    286,800.20x = 75,210,111,607.74
  5. Step 5: Solve for x
    x = 75,210,111,607.74/286,800.20
  6. Step 6: Final answer
    x = 262,238.70

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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.