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Finding the Fourth Proportional to 1,641,465, 2,462,208.44 and 519,534

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Solution

The fourth proportional to 1,641,465, 2,462,208.44 and 519,534 is: 779,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641,465 : 2,462,208.44 = 519,534 : x
  2. Step 2: Convert to fraction form
    1,641,465/2,462,208.44 = 519,534/x
  3. Step 3: Cross multiply
    1,641,465x = 2,462,208.44 × 519,534
  4. Step 4: Simplify right side
    1,641,465x = 1,279,200,997,069.29
  5. Step 5: Solve for x
    x = 1,279,200,997,069.29/1,641,465
  6. Step 6: Final answer
    x = 779,304.46

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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.