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Finding the Fourth Proportional to 426,830.37, 589,287.21 and 406,346.88

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Solution

The fourth proportional to 426,830.37, 589,287.21 and 406,346.88 is: 561,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,830.37 : 589,287.21 = 406,346.88 : x
  2. Step 2: Convert to fraction form
    426,830.37/589,287.21 = 406,346.88/x
  3. Step 3: Cross multiply
    426,830.37x = 589,287.21 × 406,346.88
  4. Step 4: Simplify right side
    426,830.37x = 239,455,019,435.82
  5. Step 5: Solve for x
    x = 239,455,019,435.82/426,830.37
  6. Step 6: Final answer
    x = 561,007.46

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