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Finding the Fourth Proportional to 706,457.05, 974,953.20 and 416,261.98

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Solution

The fourth proportional to 706,457.05, 974,953.20 and 416,261.98 is: 574,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,457.05 : 974,953.20 = 416,261.98 : x
  2. Step 2: Convert to fraction form
    706,457.05/974,953.20 = 416,261.98/x
  3. Step 3: Cross multiply
    706,457.05x = 974,953.20 × 416,261.98
  4. Step 4: Simplify right side
    706,457.05x = 405,835,949,439.34
  5. Step 5: Solve for x
    x = 405,835,949,439.34/706,457.05
  6. Step 6: Final answer
    x = 574,466.56

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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.