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Finding the Fourth Proportional to 405,830.40, 605,812.80 and 356,064

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Solution

The fourth proportional to 405,830.40, 605,812.80 and 356,064 is: 531,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,830.40 : 605,812.80 = 356,064 : x
  2. Step 2: Convert to fraction form
    405,830.40/605,812.80 = 356,064/x
  3. Step 3: Cross multiply
    405,830.40x = 605,812.80 × 356,064
  4. Step 4: Simplify right side
    405,830.40x = 215,708,128,819.20
  5. Step 5: Solve for x
    x = 215,708,128,819.20/405,830.40
  6. Step 6: Final answer
    x = 531,522.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.