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Finding the Fourth Proportional to 1,266,532.04, 1,899,914.84 and 413,608.16

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Solution

The fourth proportional to 1,266,532.04, 1,899,914.84 and 413,608.16 is: 620,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,532.04 : 1,899,914.84 = 413,608.16 : x
  2. Step 2: Convert to fraction form
    1,266,532.04/1,899,914.84 = 413,608.16/x
  3. Step 3: Cross multiply
    1,266,532.04x = 1,899,914.84 × 413,608.16
  4. Step 4: Simplify right side
    1,266,532.04x = 785,820,281,129.09
  5. Step 5: Solve for x
    x = 785,820,281,129.09/1,266,532.04
  6. Step 6: Final answer
    x = 620,450.38

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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.