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Finding the Fourth Proportional to 562,776.42, 777,313.14 and 409,571.60

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Solution

The fourth proportional to 562,776.42, 777,313.14 and 409,571.60 is: 565,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,776.42 : 777,313.14 = 409,571.60 : x
  2. Step 2: Convert to fraction form
    562,776.42/777,313.14 = 409,571.60/x
  3. Step 3: Cross multiply
    562,776.42x = 777,313.14 × 409,571.60
  4. Step 4: Simplify right side
    562,776.42x = 318,365,386,450.82
  5. Step 5: Solve for x
    x = 318,365,386,450.82/562,776.42
  6. Step 6: Final answer
    x = 565,704.91

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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.