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Finding the Fourth Proportional to 650,564.34, 976,141.35 and 384,843.84

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Solution

The fourth proportional to 650,564.34, 976,141.35 and 384,843.84 is: 577,440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,564.34 : 976,141.35 = 384,843.84 : x
  2. Step 2: Convert to fraction form
    650,564.34/976,141.35 = 384,843.84/x
  3. Step 3: Cross multiply
    650,564.34x = 976,141.35 × 384,843.84
  4. Step 4: Simplify right side
    650,564.34x = 375,661,985,516.78
  5. Step 5: Solve for x
    x = 375,661,985,516.78/650,564.34
  6. Step 6: Final answer
    x = 577,440.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.