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Finding the Fourth Proportional to 310,349.84, 465,530.61 and 85,716.25

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Solution

The fourth proportional to 310,349.84, 465,530.61 and 85,716.25 is: 128,575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,349.84 : 465,530.61 = 85,716.25 : x
  2. Step 2: Convert to fraction form
    310,349.84/465,530.61 = 85,716.25/x
  3. Step 3: Cross multiply
    310,349.84x = 465,530.61 × 85,716.25
  4. Step 4: Simplify right side
    310,349.84x = 39,903,537,307.02
  5. Step 5: Solve for x
    x = 39,903,537,307.02/310,349.84
  6. Step 6: Final answer
    x = 128,575.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.