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Finding the Fourth Proportional to 334,706, 461,897.52 and 183,806.24

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Solution

The fourth proportional to 334,706, 461,897.52 and 183,806.24 is: 253,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,706 : 461,897.52 = 183,806.24 : x
  2. Step 2: Convert to fraction form
    334,706/461,897.52 = 183,806.24/x
  3. Step 3: Cross multiply
    334,706x = 461,897.52 × 183,806.24
  4. Step 4: Simplify right side
    334,706x = 84,899,646,416.52
  5. Step 5: Solve for x
    x = 84,899,646,416.52/334,706
  6. Step 6: Final answer
    x = 253,654.39

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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.