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Finding the Fourth Proportional to 411,746.94, 614,817.70 and 363,311.89

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Solution

The fourth proportional to 411,746.94, 614,817.70 and 363,311.89 is: 542,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,746.94 : 614,817.70 = 363,311.89 : x
  2. Step 2: Convert to fraction form
    411,746.94/614,817.70 = 363,311.89/x
  3. Step 3: Cross multiply
    411,746.94x = 614,817.70 × 363,311.89
  4. Step 4: Simplify right side
    411,746.94x = 223,370,578,147.13
  5. Step 5: Solve for x
    x = 223,370,578,147.13/411,746.94
  6. Step 6: Final answer
    x = 542,494.81

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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.