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Finding the Fourth Proportional to 756,810, 1,044,405.97 and 412,643.16

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Solution

The fourth proportional to 756,810, 1,044,405.97 and 412,643.16 is: 569,452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,810 : 1,044,405.97 = 412,643.16 : x
  2. Step 2: Convert to fraction form
    756,810/1,044,405.97 = 412,643.16/x
  3. Step 3: Cross multiply
    756,810x = 1,044,405.97 × 412,643.16
  4. Step 4: Simplify right side
    756,810x = 430,966,978,752.06
  5. Step 5: Solve for x
    x = 430,966,978,752.06/756,810
  6. Step 6: Final answer
    x = 569,452.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.