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Finding the Fourth Proportional to 289,271.80, 433,907.70 and 164,855.80

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Solution

The fourth proportional to 289,271.80, 433,907.70 and 164,855.80 is: 247,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,271.80 : 433,907.70 = 164,855.80 : x
  2. Step 2: Convert to fraction form
    289,271.80/433,907.70 = 164,855.80/x
  3. Step 3: Cross multiply
    289,271.80x = 433,907.70 × 164,855.80
  4. Step 4: Simplify right side
    289,271.80x = 71,532,201,009.66
  5. Step 5: Solve for x
    x = 71,532,201,009.66/289,271.80
  6. Step 6: Final answer
    x = 247,283.70

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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.