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Finding the Fourth Proportional to 719,284.38, 992,644.83 and 413,460.06

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Solution

The fourth proportional to 719,284.38, 992,644.83 and 413,460.06 is: 570,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,284.38 : 992,644.83 = 413,460.06 : x
  2. Step 2: Convert to fraction form
    719,284.38/992,644.83 = 413,460.06/x
  3. Step 3: Cross multiply
    719,284.38x = 992,644.83 × 413,460.06
  4. Step 4: Simplify right side
    719,284.38x = 410,418,990,970.49
  5. Step 5: Solve for x
    x = 410,418,990,970.49/719,284.38
  6. Step 6: Final answer
    x = 570,593.50

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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.