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Finding the Fourth Proportional to 334,551.78, 461,681.92 and 181,590

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Solution

The fourth proportional to 334,551.78, 461,681.92 and 181,590 is: 250,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,551.78 : 461,681.92 = 181,590 : x
  2. Step 2: Convert to fraction form
    334,551.78/461,681.92 = 181,590/x
  3. Step 3: Cross multiply
    334,551.78x = 461,681.92 × 181,590
  4. Step 4: Simplify right side
    334,551.78x = 83,836,819,852.80
  5. Step 5: Solve for x
    x = 83,836,819,852.80/334,551.78
  6. Step 6: Final answer
    x = 250,594.45

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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.