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Finding the Fourth Proportional to 308,494.36, 424,839.27 and 289,271.08

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Solution

The fourth proportional to 308,494.36, 424,839.27 and 289,271.08 is: 398,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,494.36 : 424,839.27 = 289,271.08 : x
  2. Step 2: Convert to fraction form
    308,494.36/424,839.27 = 289,271.08/x
  3. Step 3: Cross multiply
    308,494.36x = 424,839.27 × 289,271.08
  4. Step 4: Simplify right side
    308,494.36x = 122,893,714,459.31
  5. Step 5: Solve for x
    x = 122,893,714,459.31/308,494.36
  6. Step 6: Final answer
    x = 398,366.16

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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.