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Finding the Fourth Proportional to 289,171.07, 433,686.74 and 111,564.80

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Solution

The fourth proportional to 289,171.07, 433,686.74 and 111,564.80 is: 167,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,171.07 : 433,686.74 = 111,564.80 : x
  2. Step 2: Convert to fraction form
    289,171.07/433,686.74 = 111,564.80/x
  3. Step 3: Cross multiply
    289,171.07x = 433,686.74 × 111,564.80
  4. Step 4: Simplify right side
    289,171.07x = 48,384,174,410.75
  5. Step 5: Solve for x
    x = 48,384,174,410.75/289,171.07
  6. Step 6: Final answer
    x = 167,320.25

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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.