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Finding the Fourth Proportional to 424,291.90, 585,377.12 and 263,088.94

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Solution

The fourth proportional to 424,291.90, 585,377.12 and 263,088.94 is: 362,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,291.90 : 585,377.12 = 263,088.94 : x
  2. Step 2: Convert to fraction form
    424,291.90/585,377.12 = 263,088.94/x
  3. Step 3: Cross multiply
    424,291.90x = 585,377.12 × 263,088.94
  4. Step 4: Simplify right side
    424,291.90x = 154,006,246,001.05
  5. Step 5: Solve for x
    x = 154,006,246,001.05/424,291.90
  6. Step 6: Final answer
    x = 362,972.39

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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.