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Finding the Fourth Proportional to 702,777.12, 969,438.96 and 416,017.76

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Solution

The fourth proportional to 702,777.12, 969,438.96 and 416,017.76 is: 573,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,777.12 : 969,438.96 = 416,017.76 : x
  2. Step 2: Convert to fraction form
    702,777.12/969,438.96 = 416,017.76/x
  3. Step 3: Cross multiply
    702,777.12x = 969,438.96 × 416,017.76
  4. Step 4: Simplify right side
    702,777.12x = 403,303,824,595.93
  5. Step 5: Solve for x
    x = 403,303,824,595.93/702,777.12
  6. Step 6: Final answer
    x = 573,871.59

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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.