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Finding the Fourth Proportional to 334,643.84, 461,805.19 and 181,678.64

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Solution

The fourth proportional to 334,643.84, 461,805.19 and 181,678.64 is: 250,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,643.84 : 461,805.19 = 181,678.64 : x
  2. Step 2: Convert to fraction form
    334,643.84/461,805.19 = 181,678.64/x
  3. Step 3: Cross multiply
    334,643.84x = 461,805.19 × 181,678.64
  4. Step 4: Simplify right side
    334,643.84x = 83,900,139,564.46
  5. Step 5: Solve for x
    x = 83,900,139,564.46/334,643.84
  6. Step 6: Final answer
    x = 250,714.73

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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.