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Finding the Fourth Proportional to 299,433.60, 449,369.10 and 210,860.10

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Solution

The fourth proportional to 299,433.60, 449,369.10 and 210,860.10 is: 316,444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,433.60 : 449,369.10 = 210,860.10 : x
  2. Step 2: Convert to fraction form
    299,433.60/449,369.10 = 210,860.10/x
  3. Step 3: Cross multiply
    299,433.60x = 449,369.10 × 210,860.10
  4. Step 4: Simplify right side
    299,433.60x = 94,754,013,362.91
  5. Step 5: Solve for x
    x = 94,754,013,362.91/299,433.60
  6. Step 6: Final answer
    x = 316,444.16

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Why These Related Problems?

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