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Finding the Fourth Proportional to 415,203.58, 572,862.42 and 233,852.14

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Solution

The fourth proportional to 415,203.58, 572,862.42 and 233,852.14 is: 322,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,203.58 : 572,862.42 = 233,852.14 : x
  2. Step 2: Convert to fraction form
    415,203.58/572,862.42 = 233,852.14/x
  3. Step 3: Cross multiply
    415,203.58x = 572,862.42 × 233,852.14
  4. Step 4: Simplify right side
    415,203.58x = 133,965,102,842.58
  5. Step 5: Solve for x
    x = 133,965,102,842.58/415,203.58
  6. Step 6: Final answer
    x = 322,649.20

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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.