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Finding the Fourth Proportional to 424,403.13, 585,918.53 and 281,356.93

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Solution

The fourth proportional to 424,403.13, 585,918.53 and 281,356.93 is: 388,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,403.13 : 585,918.53 = 281,356.93 : x
  2. Step 2: Convert to fraction form
    424,403.13/585,918.53 = 281,356.93/x
  3. Step 3: Cross multiply
    424,403.13x = 585,918.53 × 281,356.93
  4. Step 4: Simplify right side
    424,403.13x = 164,852,238,830.91
  5. Step 5: Solve for x
    x = 164,852,238,830.91/424,403.13
  6. Step 6: Final answer
    x = 388,433.14

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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.