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Finding the Fourth Proportional to 706,109.48, 1,059,052.58 and 306,643

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Solution

The fourth proportional to 706,109.48, 1,059,052.58 and 306,643 is: 459,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,109.48 : 1,059,052.58 = 306,643 : x
  2. Step 2: Convert to fraction form
    706,109.48/1,059,052.58 = 306,643/x
  3. Step 3: Cross multiply
    706,109.48x = 1,059,052.58 × 306,643
  4. Step 4: Simplify right side
    706,109.48x = 324,751,060,288.94
  5. Step 5: Solve for x
    x = 324,751,060,288.94/706,109.48
  6. Step 6: Final answer
    x = 459,916.02

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Why These Related Problems?

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