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Finding the Fourth Proportional to 334,708, 461,900.28 and 183,808.24

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Solution

The fourth proportional to 334,708, 461,900.28 and 183,808.24 is: 253,657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,708 : 461,900.28 = 183,808.24 : x
  2. Step 2: Convert to fraction form
    334,708/461,900.28 = 183,808.24/x
  3. Step 3: Cross multiply
    334,708x = 461,900.28 × 183,808.24
  4. Step 4: Simplify right side
    334,708x = 84,901,077,522.31
  5. Step 5: Solve for x
    x = 84,901,077,522.31/334,708
  6. Step 6: Final answer
    x = 253,657.15

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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.