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Finding the Fourth Proportional to 424,447, 585,820.07 and 243,280.38

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Solution

The fourth proportional to 424,447, 585,820.07 and 243,280.38 is: 335,774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,447 : 585,820.07 = 243,280.38 : x
  2. Step 2: Convert to fraction form
    424,447/585,820.07 = 243,280.38/x
  3. Step 3: Cross multiply
    424,447x = 585,820.07 × 243,280.38
  4. Step 4: Simplify right side
    424,447x = 142,518,529,241.23
  5. Step 5: Solve for x
    x = 142,518,529,241.23/424,447
  6. Step 6: Final answer
    x = 335,774.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.