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Finding the Fourth Proportional to 289,013.40, 433,520.10 and 266,203.80

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Solution

The fourth proportional to 289,013.40, 433,520.10 and 266,203.80 is: 399,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,013.40 : 433,520.10 = 266,203.80 : x
  2. Step 2: Convert to fraction form
    289,013.40/433,520.10 = 266,203.80/x
  3. Step 3: Cross multiply
    289,013.40x = 433,520.10 × 266,203.80
  4. Step 4: Simplify right side
    289,013.40x = 115,404,697,996.38
  5. Step 5: Solve for x
    x = 115,404,697,996.38/289,013.40
  6. Step 6: Final answer
    x = 399,305.70

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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.