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Finding the Fourth Proportional to 574,485.17, 792,831.69 and 411,157.01

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Solution

The fourth proportional to 574,485.17, 792,831.69 and 411,157.01 is: 567,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,485.17 : 792,831.69 = 411,157.01 : x
  2. Step 2: Convert to fraction form
    574,485.17/792,831.69 = 411,157.01/x
  3. Step 3: Cross multiply
    574,485.17x = 792,831.69 × 411,157.01
  4. Step 4: Simplify right side
    574,485.17x = 325,978,309,075.73
  5. Step 5: Solve for x
    x = 325,978,309,075.73/574,485.17
  6. Step 6: Final answer
    x = 567,426.85

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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.