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Finding the Fourth Proportional to 650,562.84, 976,139.10 and 384,842.34

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Solution

The fourth proportional to 650,562.84, 976,139.10 and 384,842.34 is: 577,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,562.84 : 976,139.10 = 384,842.34 : x
  2. Step 2: Convert to fraction form
    650,562.84/976,139.10 = 384,842.34/x
  3. Step 3: Cross multiply
    650,562.84x = 976,139.10 × 384,842.34
  4. Step 4: Simplify right side
    650,562.84x = 375,659,655,409.49
  5. Step 5: Solve for x
    x = 375,659,655,409.49/650,562.84
  6. Step 6: Final answer
    x = 577,437.92

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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.