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Finding the Fourth Proportional to 293,397.14, 404,894.49 and 178,681.16

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Solution

The fourth proportional to 293,397.14, 404,894.49 and 178,681.16 is: 246,583.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,397.14 : 404,894.49 = 178,681.16 : x
  2. Step 2: Convert to fraction form
    293,397.14/404,894.49 = 178,681.16/x
  3. Step 3: Cross multiply
    293,397.14x = 404,894.49 × 178,681.16
  4. Step 4: Simplify right side
    293,397.14x = 72,347,017,150.81
  5. Step 5: Solve for x
    x = 72,347,017,150.81/293,397.14
  6. Step 6: Final answer
    x = 246,583.92

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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.