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Finding the Fourth Proportional to 433,671.07, 650,155.98 and 181,145.02

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Solution

The fourth proportional to 433,671.07, 650,155.98 and 181,145.02 is: 271,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,671.07 : 650,155.98 = 181,145.02 : x
  2. Step 2: Convert to fraction form
    433,671.07/650,155.98 = 181,145.02/x
  3. Step 3: Cross multiply
    433,671.07x = 650,155.98 × 181,145.02
  4. Step 4: Simplify right side
    433,671.07x = 117,772,518,000.22
  5. Step 5: Solve for x
    x = 117,772,518,000.22/433,671.07
  6. Step 6: Final answer
    x = 271,571.07

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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.