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Finding the Fourth Proportional to 730,713.24, 1,008,315 and 408,415.96

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Solution

The fourth proportional to 730,713.24, 1,008,315 and 408,415.96 is: 563,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,713.24 : 1,008,315 = 408,415.96 : x
  2. Step 2: Convert to fraction form
    730,713.24/1,008,315 = 408,415.96/x
  3. Step 3: Cross multiply
    730,713.24x = 1,008,315 × 408,415.96
  4. Step 4: Simplify right side
    730,713.24x = 411,811,938,707.40
  5. Step 5: Solve for x
    x = 411,811,938,707.40/730,713.24
  6. Step 6: Final answer
    x = 563,575.31

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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.