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Finding the Fourth Proportional to 310,353.29, 464,884.08 and 299,646.71

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Solution

The fourth proportional to 310,353.29, 464,884.08 and 299,646.71 is: 448,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,353.29 : 464,884.08 = 299,646.71 : x
  2. Step 2: Convert to fraction form
    310,353.29/464,884.08 = 299,646.71/x
  3. Step 3: Cross multiply
    310,353.29x = 464,884.08 × 299,646.71
  4. Step 4: Simplify right side
    310,353.29x = 139,300,985,103.38
  5. Step 5: Solve for x
    x = 139,300,985,103.38/310,353.29
  6. Step 6: Final answer
    x = 448,846.49

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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.