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Finding the Fourth Proportional to 415,235.34, 573,026.75 and 233,950.16

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Solution

The fourth proportional to 415,235.34, 573,026.75 and 233,950.16 is: 322,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,235.34 : 573,026.75 = 233,950.16 : x
  2. Step 2: Convert to fraction form
    415,235.34/573,026.75 = 233,950.16/x
  3. Step 3: Cross multiply
    415,235.34x = 573,026.75 × 233,950.16
  4. Step 4: Simplify right side
    415,235.34x = 134,059,695,811.90
  5. Step 5: Solve for x
    x = 134,059,695,811.90/415,235.34
  6. Step 6: Final answer
    x = 322,852.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.