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Finding the Fourth Proportional to 442,062.24, 662,096.40 and 309,534.14

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Solution

The fourth proportional to 442,062.24, 662,096.40 and 309,534.14 is: 463,603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,062.24 : 662,096.40 = 309,534.14 : x
  2. Step 2: Convert to fraction form
    442,062.24/662,096.40 = 309,534.14/x
  3. Step 3: Cross multiply
    442,062.24x = 662,096.40 × 309,534.14
  4. Step 4: Simplify right side
    442,062.24x = 204,941,436,460.61
  5. Step 5: Solve for x
    x = 204,941,436,460.61/442,062.24
  6. Step 6: Final answer
    x = 463,603.13

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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.