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Finding the Fourth Proportional to 334,643.75, 461,808.37 and 181,681.93

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Solution

The fourth proportional to 334,643.75, 461,808.37 and 181,681.93 is: 250,721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,643.75 : 461,808.37 = 181,681.93 : x
  2. Step 2: Convert to fraction form
    334,643.75/461,808.37 = 181,681.93/x
  3. Step 3: Cross multiply
    334,643.75x = 461,808.37 × 181,681.93
  4. Step 4: Simplify right side
    334,643.75x = 83,902,235,043.34
  5. Step 5: Solve for x
    x = 83,902,235,043.34/334,643.75
  6. Step 6: Final answer
    x = 250,721.06

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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.